Ideals and hereditary subalgebras in operator algebras
Studia Mathematica, Tome 212 (2012) no. 1, pp. 65-93
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach-algebraic point of view. Namely, we mainly investigate topics concerned with the ideal structure, and hereditary subalgebras (or HSA's, which are in some sense a generalization of ideals). Second, we study properties of operator algebras which are hereditary subalgebras in their bidual, or equivalently which are `weakly compact'. We also give several examples answering natural questions that arise in such an investigation.
Keywords:
paper may viewed having aims first continue study algebras operators hilbert space which have contractive approximate identity time banach algebraic point view namely mainly investigate topics concerned ideal structure hereditary subalgebras hsas which sense generalization ideals second study properties operator algebras which hereditary subalgebras their bidual equivalently which weakly compact several examples answering natural questions arise investigation
Affiliations des auteurs :
Melahat Almus 1 ; David P. Blecher 1 ; Charles John Read 2
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title = {Ideals and hereditary subalgebras in operator algebras},
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volume = {212},
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%0 Journal Article %A Melahat Almus %A David P. Blecher %A Charles John Read %T Ideals and hereditary subalgebras in operator algebras %J Studia Mathematica %D 2012 %P 65-93 %V 212 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm212-1-5/ %R 10.4064/sm212-1-5 %G en %F 10_4064_sm212_1_5
Melahat Almus; David P. Blecher; Charles John Read. Ideals and hereditary subalgebras in operator algebras. Studia Mathematica, Tome 212 (2012) no. 1, pp. 65-93. doi: 10.4064/sm212-1-5
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