On a ρ-Orthogonally Additive Mappings

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DC pole	Wartość	Język
dc.contributor.author	Chmieliński, Jacek	-
dc.contributor.author	Sikorska, Justyna	-
dc.contributor.author	Wójcik, Paweł	-
dc.date.accessioned	2020-07-23T07:43:02Z	-
dc.date.available	2020-07-23T07:43:02Z	-
dc.date.issued	2020	-
dc.identifier.citation	Results in Mathematics, Vol. 75 (2020), Art. No 108	pl_PL
dc.identifier.issn	1422-6383	-
dc.identifier.issn	1420-9012	-
dc.identifier.uri	http://hdl.handle.net/20.500.12128/15313	-
dc.description.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.	pl_PL
dc.language.iso	en	pl_PL
dc.rights	Uznanie autorstwa 3.0 Polska	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/pl/	*
dc.subject	Orthogonality in normed spaces	pl_PL
dc.subject	orthogonal additivity	pl_PL
dc.subject	norm derivatives	pl_PL
dc.subject	orthogonality space	pl_PL
dc.subject	approximate orthogonality	pl_PL
dc.title	On a ρ-Orthogonally Additive Mappings	pl_PL
dc.type	info:eu-repo/semantics/article	pl_PL
dc.identifier.doi	10.1007/s00025-020-01238-9	-
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