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.
Orthogonality in locally convex spaces: Two nonlinear generalizations of Neumann's lemma / Barbagallo, A.; Ernst, O. -E.; Thera, Michel. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 484:1(2020), p. 123663. [10.1016/j.jmaa.2019.123663]
Orthogonality in locally convex spaces: Two nonlinear generalizations of Neumann's lemma
Barbagallo A.
;THERA, MICHEL
2020
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.File in questo prodotto:
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