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On Jordan ideals and submodules: algebraic and analytic aspectsBrešar, Matej ; Kissin, Edward ; Shulman, Victor S.Naj bo ▫$A$▫ algebra in naj bo ▫$X$▫ ▫$\mathcal{A}$▫-bimodul. Linearni podprostor ▫$Y \subset X$▫ imenujemo jordanski ▫$\mathcal{A}$▫-podmodul, če velja ▫$Ay + yA \in Y$▫ za vse $A \in \mathcal{A}$ ... in vse ▫$y\in Y$▫ (za ▫$X = \mathcal{A}$▫ to sovpada s pojmom jordanskega ideala). Obravnani so pogoji, pod katerimi so jordanski podmoduli (asociativni) podmoduli. Splošni kriteriji so podani tako v algebraičnem kontekstu kot v kontekstu Banacahovih bimodulov. Obravnavani so tudi simetrični normirani jordanski podmoduli nad ▫$C^\ast$▫-algebrami. Izkaže se, da obstajajo ▫$C^\ast$▫-algebre, v katerih niso vsi jordanski ideali (asociativni) ideali.Source: Functional analysis and its applications. - ISSN 0016-2663 (Vol. 42, no. 3, 2008, str. 220-223)Type of material - article, component partPublish date - 2008Language - englishCOBISS.SI-ID - 14966361
Author
Brešar, Matej |
Kissin, Edward |
Shulman, Victor S.
Topics
matematika |
funkcionalna analiza |
algebra |
ideal |
bimodul |
▫$C^\ast$▫-algebra |
mathematics |
functional analysis |
algebra |
ideal |
bimodule |
Jordan ideal |
▫$C^\ast$▫-algebra |
symmetrically normed ideal
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source: Functional analysis and its applications. - ISSN 0016-2663 (Vol. 42, no. 3, 2008, str. 220-223)
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Brešar, Matej | 08721 |
Kissin, Edward | ![]() |
Shulman, Victor S. | ![]() |
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