- Title
- Orthogonality in locally convex spaces : two nonlinear generalizations of Neumann's lemma
- Creator
- Barbagallo, Annamaria; Ernst, Octavian-Emil; Théra, Michel
- Date
- 2020
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/171440
- Identifier
- vital:14313
- Identifier
-
https://doi.org/10.1016/j.jmaa.2019.123663
- Identifier
- ISBN:0022-247X
- Abstract
- In this note we prove a symmetric version of the Neumann lemma as well as a symmetric version of the Soderlind-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. (C) 2019 Published by Elsevier Inc.
- Publisher
- Elsevier Inc.
- Relation
- Journal of Mathematical Analysis and Applications Vol. 484, no. 1 (Apr 2020), p. 18
- Rights
- @2019 Published by Elsevier Inc.
- Rights
- This metadata is freely available under a CCO license
- Rights
- Open Access
- Subject
- 0101 Pure Mathematics; 0102 Applied Mathematics; 0906 Electrical and Electronic Engineering; Campanato nearness; Neumann lemma; Birkhoff-James orthogonality; Soderlind-Campanato lemma; Casazza-Christenses lemma; Birkhoff-Kakutani-Day-James theorem; Operators
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