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Uvod v teorijo ▫$C^\ast$▫-algeberVidav, IvanDelo je nastalo na osnovi predavanj za študente tretje stopnje in predstavlja kratek uvod v teorijo splošnih ▫$C^\ast$▫-algeber. Prvo poglavje vsebuje osnovna dejstva o Banachovih algebrah in ... algebrah z involucijo. V drugem so zbrani klasični rezultati v zvezi z gelfandovo upodobitvijo komutativnih algeber, pozitivnimi elementi in pozitivnimi funkcionali, ideali in podalgebrami, ekstremnimi točkami, izometrijami in jordanskimi homomorfizmi ter odvajanji in avtomorfizmi ▫$C^\ast$▫-algeber. Tretje poglavje pa obravnava konkretne primere podalgeber omejenih linearnih operatorjev nad Hilbertovim prostorom in s tem v zvezi kompaktne Hilbert-Schmidtove operatorje s sledjo.Type of material - educational materialEdition - 2. natisPublication and manufacture - Ljubljana : Društvo matematikov, fizikov in astronomov SRS, 1982Language - slovenianCOBISS.SI-ID - 71699
Author
Vidav, Ivan
Other authors
Hladnik, Milan |
Omladič, Matjaž
Topics
matematika |
funkcionalna analiza |
involutivne Banachove algebre |
komutativne Banachove algebre |
izometrije |
jordanski homomorfizmi |
odvajanja |
avtomorfizmi |
algebre omejenih linearnih operatorjev |
mathematics |
functional analysis |
Banach algebras |
algebras with involution |
▫$C^\ast$▫-algebras |
subalgebras of bounded linear operators
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Vidav, Ivan | 00225 |
Hladnik, Milan | 03429 |
Omladič, Matjaž | 09573 |
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