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