Matej Brešar (Author)

Abstract

Podana je razširitev Jacobsonovega izreka o gostoti na Banachove algebre z avtomorfizmi. Zatem so obravnave aplikacije tega izreka. Med drugim so karakterizirani avtomorfizmi ▫$\alpha$▫ na Banachovi algebri z lastnostjo, da je preslikava ▫$\alpha-1$▫ spektralno omejena.

Keywords

matematika;funkcionalna analiza;teorija operatorjev;avtomorfizem;Banachova algebra;izrek o gostoti;spektralno omejena preslikava;ne zaključna dela;mathematics;functional analysis;operator theory;automorphism;Banach algebra;density theorem;spectrally bounded map;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM PEF - Faculty of Education
UDC: 517.986
COBISS: 13471833 Link will open in a new window
ISSN: 0003-889X
Views: 1130
Downloads: 105
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Other data

Secondary language: Slovenian
Secondary title: O avtomorfizmih na Banachovih algebrah
Secondary abstract: We prove an extension of the Jacobson density theorem for Banach algebras with automorphisms, and discuss its applications. In particular, automorphisms ▫$\alpha$▫ of Banach algebras such that the map ▫$\alpha-1$▫ is spectrally bounded are characterized.
Secondary keywords: Funkcionalna analiza;Teorija operatorjev;
Type (COBISS): Article
Pages: str. 297-302
Volume: ǂVol. ǂ78
Issue: ǂno. ǂ4
Chronology: 2002
DOI: 10.1007/s00013-002-8250-0
ID: 1472446