\(\phi\)-orthogonally additive mappings. II
type: Item
instance of: scholarly article
title: \(\phi\)-orthogonally additive mappings. II
zbMATH Open document ID: 0787.46019
DOI: 10.1007/BF00052085
author: György Szabó
published in: Acta Mathematica Hungarica
publication date: 1993-04-01T00:00:00Z
review text: From author's introduction: This is the second part of a series of papers describing the properties of \(\phi\)-orthogonally additive mappings for a sesquilinear form \(\phi\). While in the first part the symmetric orthogonality has been studied, here we examine the cases of non- symmetric and totally isotropic orthogonalities, showing essentially the general solution to be additive. We illustrate our theory by some examples and summarize the results obtained in different possible cases. [For part I see ibid. 58, No. 1/2, 101-111 (1991; Zbl 0763.46022)].
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 15A63
Mathematics Subject Classification ID: 46C50
zbMATH DE Number: 149643
zbMATH Keywords: \(\phi\)-orthogonality additive mappings
zbMATH Keywords: sesquilinear form
zbMATH Keywords: symmetric orthogonality
zbMATH Keywords: non-symmetric and totally isotropic orthogonalities
reviewed by: Constantin Zălinescu
MaRDI profile type: Publication
cites work: On orthogonally additive mappings. IV
cites work: T-Orthogonality and Nonlinear Functionals on Topological Vector Spaces
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description: scientific article; zbMATH DE number 149643