Some functional equations in banach algebras and an application

Abstract

V članku so dokazani rezultati o neki funkcionalni enačbi v kompleksni Banachovi algebri. Eden teh rezultatov je uporabljen pri dokazu abstraktne posplošitve Jordan-Neumannove karakterizacije predhilbertovega prostora.

Keywords

matematika;funkcionalna analiza;Banachova algebra;Banachova ▫$\ast$▫-algebra;vektorski prostor;modul;aditivna funkcija;avtomorfizem;antiavtomorfizem;prehilbertov prostor;mathematics;functional analysis;Banach algebra;Banach ▫$ast$▫-algebra;vector space;module;additive functions;automorphism;antiautomorphism;pre-Hilbert space;

Data

Language:	English
Year of publishing:	1987
Typology:	1.01 - Original Scientific Article
Organization:	UM EPF - Faculty of Economics and Business
UDC:	517.982
COBISS:	695812
ISSN:	0002-9939
Views:	808
Downloads:	84
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Nekatere funkcionalne enačbe v Banachovih algebrah in primer uporabe
Secondary abstract:	In this paper some results concerning certain functional equations in complex Banach algebras are presented. One of these resuts is used to prove an abstract generalization of the classical Jordan-Neumann characterization of pre-Hilbert space.
URN:	URN:SI:UM:
Type (COBISS):	Not categorized
Pages:	str. 133-136
Volume:	ǂVol. ǂ100
Issue:	ǂno. ǂ1
Chronology:	1987
ID:	1471753