Orthogonality in locally convex spaces: two nonlinear generalizations of Neumann's Lemma Octavian-Emil Ernst - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2019

Orthogonality in locally convex spaces: two nonlinear generalizations of Neumann's Lemma Octavian-Emil Ernst

Annamaria Barbagallo
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Emil Ernst
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  • IdHAL : emil-ernst

Abstract

In this note we prove a symmetric version of the Neumann Lemma as well as a symmetric version of the Söderlind-Campanato Lemma. We establish in this way two partial generalizations of the well-known Casazza-Christenses Lemma. This work is related to the Birkhoff-James orthogonality and to the concept of near operators introduced by S. Campanato.
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Dates and versions

hal-02307877 , version 1 (08-10-2019)

Identifiers

  • HAL Id : hal-02307877 , version 1

Cite

Annamaria Barbagallo, Emil Ernst, Michel Thera. Orthogonality in locally convex spaces: two nonlinear generalizations of Neumann's Lemma Octavian-Emil Ernst. 2019. ⟨hal-02307877⟩
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