<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-04844126</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-02T06:13:28+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">KMS Dirichlet forms, coercivity and superbounded Markovian semigroups on von Neumann algebras</title>
            <author role="rsp">
              <persName>
                <forename type="first">Fabio E. G.</forename>
                <surname>Cipriani</surname>
              </persName>
              <email type="md5">0ea9d6852c3aa62d4766c6ba6392e7cf</email>
              <email type="domain">polimi.it</email>
              <idno type="idhal" notation="numeric">1232687</idno>
              <idno type="halauthorid" notation="string">2743037-1232687</idno>
              <affiliation ref="#struct-125443"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Boguslaw</forename>
                <surname>Zegarlinski</surname>
              </persName>
              <idno type="halauthorid">179987-0</idno>
              <affiliation ref="#struct-1954"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>INSA Toulouse</forename>
                <surname>SCD</surname>
              </persName>
              <email type="md5">d224dab37fab5d2602fb62245a2db870</email>
              <email type="domain">insa-toulouse.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2024-12-17 17:44:58</date>
              <date type="whenModified">2025-10-22 18:04:09</date>
              <date type="whenReleased">2024-12-17 17:44:58</date>
              <date type="whenProduced">2024</date>
              <ref type="externalLink" target="https://link.springer.com/content/pdf/10.1007/s43036-024-00315-y.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="581699">
                <persName>
                  <forename>INSA Toulouse</forename>
                  <surname>SCD</surname>
                </persName>
                <email type="md5">d224dab37fab5d2602fb62245a2db870</email>
                <email type="domain">insa-toulouse.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-04844126</idno>
            <idno type="halUri">https://hal.science/hal-04844126</idno>
            <idno type="halBibtex">cipriani:hal-04844126</idno>
            <idno type="halRefHtml">&lt;i&gt;Advances in Operator Theory&lt;/i&gt;, 2024, 9, pp.22. &lt;a target="_blank" href="https://dx.doi.org/10.1007/s43036-024-00315-y"&gt;&amp;#x27E8;10.1007/s43036-024-00315-y&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Advances in Operator Theory, 2024, 9, pp.22. &amp;#x27E8;10.1007/s43036-024-00315-y&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-TLSE2">Université Toulouse 2</idno>
            <idno type="stamp" n="UNIV-TLSE3">Université de Toulouse</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INSA-TOULOUSE">Institut National des Sciences Appliquées de Toulouse</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="IMT">Institut de Mathématiques de Toulouse</idno>
            <idno type="stamp" n="UT1-CAPITOLE">Université Toulouse 1 Capitole</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="UNIV-UT3">Université Toulouse 3</idno>
            <idno type="stamp" n="UT3-INP">Université de Toulouse / Toulouse INP</idno>
            <idno type="stamp" n="UT3-TOULOUSEINP">Université de Toulouse / Toulouse INP</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">KMS Dirichlet forms, coercivity and superbounded Markovian semigroups on von Neumann algebras</title>
                <author role="rsp">
                  <persName>
                    <forename type="first">Fabio E. G.</forename>
                    <surname>Cipriani</surname>
                  </persName>
                  <email type="md5">0ea9d6852c3aa62d4766c6ba6392e7cf</email>
                  <email type="domain">polimi.it</email>
                  <idno type="idhal" notation="numeric">1232687</idno>
                  <idno type="halauthorid" notation="string">2743037-1232687</idno>
                  <affiliation ref="#struct-125443"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Boguslaw</forename>
                    <surname>Zegarlinski</surname>
                  </persName>
                  <idno type="halauthorid">179987-0</idno>
                  <affiliation ref="#struct-1954"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">124064</idno>
                <idno type="issn">2662-2009</idno>
                <idno type="eissn">2538-225X</idno>
                <title level="j">Advances in Operator Theory</title>
                <imprint>
                  <publisher>Birkhäuser / Tusi Mathematical Research Group</publisher>
                  <biblScope unit="volume">9</biblScope>
                  <biblScope unit="pp">22</biblScope>
                  <date type="datePub">2024</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1007/s43036-024-00315-y</idno>
              <ref type="publisher">https://link.springer.com/10.1007/s43036-024-00315-y</ref>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.math-oa">Mathematics [math]/Operator Algebras [math.OA]</classCode>
              <classCode scheme="halDomain" n="math.math-fa">Mathematics [math]/Functional Analysis [math.FA]</classCode>
              <classCode scheme="halDomain" n="math.math-pr">Mathematics [math]/Probability [math.PR]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Abstract We introduce a construction of Dirichlet forms on von Neumann algebras M associated to any eigenvalue of the Araki modular Hamiltonian of a faithful normal non-tracial state, providing also conditions by which the associated Markovian semigroups are GNS symmetric. The structure of these Dirichlet forms is described in terms of spatial derivations. Coercivity bounds are proved and the spectral growth is derived. We introduce a regularizing property of positivity preserving semigroups (superboundedness) stronger than hypercontractivity, in terms of the symmetric embedding of M into its standard space L²(M) L 2 ( M ) and the associated noncommutative L^p(M) L p ( M ) spaces. We prove superboundedness for a special class of positivity preserving semigroups and that some of them are dominated by the Markovian semigroups associated to the Dirichlet forms introduced above, for type I factors M . These tools are applied to a general construction of the quantum Ornstein–Uhlembeck semigroups of the Canonical Commutation Relations CCR and some of their non-perturbative deformations.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-125443" status="VALID">
          <idno type="ISNI">0000 0004 1937 0327</idno>
          <idno type="ROR">https://ror.org/01nffqt88</idno>
          <orgName>Politecnico di Milano [Milan]</orgName>
          <orgName type="acronym">POLIMI</orgName>
          <desc>
            <address>
              <addrLine>Piazza Leonardo da Vinci, 32 20133 Milano</addrLine>
              <country key="IT"/>
            </address>
            <ref type="url">https://www.polimi.it/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-1954" status="OLD">
          <idno type="IdRef">166783900</idno>
          <idno type="ISNI">0000000403836348</idno>
          <idno type="RNSR">200711888W</idno>
          <idno type="ROR">https://ror.org/014vp6c30</idno>
          <orgName>Institut de Mathématiques de Toulouse UMR5219</orgName>
          <orgName type="acronym">IMT</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>UPS IMT, F-31062 Toulouse Cedex 9, INSA Toulouse, F-31077 Toulouse,France UT1, F-31042 Toulouse, France UT2, F-31058 Toulouse,Téléphone : 05.61.55.67.90</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.math.univ-toulouse.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-81148" type="direct"/>
            <relation name="443875" active="#struct-443875" type="indirect"/>
            <relation active="#struct-116255" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-443875" type="indirect"/>
            <relation active="#struct-116256" type="direct"/>
            <relation active="#struct-217752" type="direct"/>
            <relation name="UMR5219" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-81148" status="VALID">
          <idno type="IdRef">026404354</idno>
          <idno type="ISNI">0000000121902837</idno>
          <idno type="ROR">https://ror.org/0443n9e75</idno>
          <orgName>Université Toulouse Capitole</orgName>
          <orgName type="acronym">UT Capitole</orgName>
          <date type="start">1970-01-01</date>
          <desc>
            <address>
              <addrLine>2 rue du Doyen-Gabriel-Marty - 31042 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ut-capitole.fr/</ref>
          </desc>
          <listRelation>
            <relation name="443875" active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-443875" status="VALID">
          <idno type="ROR">https://ror.org/017tgbk05</idno>
          <orgName>Communauté d'universités et établissements de Toulouse</orgName>
          <orgName type="acronym">Comue de Toulouse</orgName>
          <desc>
            <address>
              <addrLine>41 Allée Jules Guesde, 31000 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-toulouse.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-116255" status="VALID">
          <idno type="IdRef">026388766</idno>
          <idno type="ISNI">0000 0001 2286 8343</idno>
          <idno type="ROR">https://ror.org/01h8pf755</idno>
          <idno type="Wikidata">Q858979</idno>
          <orgName>Institut National des Sciences Appliquées - Toulouse</orgName>
          <orgName type="acronym">INSA Toulouse</orgName>
          <date type="start">1963-10-21</date>
          <desc>
            <address>
              <addrLine>135, avenue de Rangueil - 31077 Toulouse cedex 4</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-toulouse.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301232" type="direct"/>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301232" status="VALID">
          <idno type="IdRef">162105150</idno>
          <orgName>Institut National des Sciences Appliquées</orgName>
          <orgName type="acronym">INSA</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-116256" status="VALID">
          <idno type="IdRef">026403994</idno>
          <idno type="ROR">https://ror.org/04ezk3x31</idno>
          <orgName>Université Toulouse - Jean Jaurès</orgName>
          <orgName type="acronym">UT2J</orgName>
          <date type="start">1971-01-01</date>
          <desc>
            <address>
              <addrLine>5 allées Antonio Machado - 31058 Toulouse Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse2.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-217752" status="OLD">
          <idno type="IdRef">026404672</idno>
          <idno type="ISNI">0000000121617331</idno>
          <idno type="ROR">https://ror.org/02v6kpv12</idno>
          <idno type="Wikidata">Q1273188</idno>
          <orgName>Université Toulouse III - Paul Sabatier</orgName>
          <orgName type="acronym">UT3</orgName>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>118 route de Narbonne - 31062 Toulouse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-tlse3.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-443875" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>