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On a ρ-orthogonally additive mappings
Authors:
- Jacek Chmieliński,
- Justyna Sikorska,
- Paweł Wójcik
Abstract
We show that a real normed linear space endowed with the ρ-orthogonality relation, in general need not be an orthogonality space in the sense of Rätz. However, we prove that ρ-orthogonally additive mappings defined on some classical Banach spaces have to be additive. Moreover, additivity (and approximate additivity) under the condition of an approximate orthogonality is considered.
- Record ID
- USLa13c75fcaa4c46839886443ac0fe7771
- Author
- Journal series
- Results in Mathematics, ISSN 1422-6383, e-ISSN 1420-9012
- Issue year
- 2020
- Vol
- 75
- No
- 3
- Pages
- 1-17
- Publication size in sheets
- 0.80
- Keywords in English
- Orthogonality in normed spaces, orthogonal additivity, norm derivatives, orthogonality space, approximate orthogonality
- ASJC Classification
- ;
- DOI
- DOI:10.1007/s00025-020-01238-9 Opening in a new tab
- Handle.net URL
- hdl.handle.net/20.500.12128/15313 Opening in a new tab
- Language
- eng (en) English
- License
- File
-
- File: 1
- On a ρ-orthogonally additive mappings, File Chmielinski_On_A_RhoΡ_Orthogonally_Additive.pdf / 502 KB
- Chmielinski_On_A_RhoΡ_Orthogonally_Additive.pdf
- publication date: 09-11-2023
- On a ρ-orthogonally additive mappings, File Chmielinski_On_A_RhoΡ_Orthogonally_Additive.pdf / 502 KB
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- Score (nominal)
- 100
- Score source
- journalList
- Score
- = 100.0, 20-12-2023, ArticleFromJournal
- Publication indicators
- Uniform Resource Identifier
- https://opus.us.edu.pl/info/article/USLa13c75fcaa4c46839886443ac0fe7771/
- URN
urn:uni-kat-prod:USLa13c75fcaa4c46839886443ac0fe7771
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