http://hdl.handle.net/20.500.12128/15313
Title: | On a ρ-Orthogonally Additive Mappings |
Authors: | Chmieliński, Jacek Sikorska, Justyna Wójcik, Paweł |
Keywords: | Orthogonality in normed spaces; orthogonal additivity; norm derivatives; orthogonality space; approximate orthogonality |
Issue Date: | 2020 |
Citation: | Results in Mathematics, Vol. 75 (2020), Art. No 108 |
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 R¨atz. 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. |
URI: | http://hdl.handle.net/20.500.12128/15313 |
DOI: | 10.1007/s00025-020-01238-9 |
ISSN: | 1422-6383 1420-9012 |
Appears in Collections: | Artykuły (WNŚiT) |
File | Description | Size | Format | |
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Chmielinski_On_A_RhoΡ_Orthogonally_Additive.pdf | 502,08 kB | Adobe PDF | View/Open |
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