Titlebook: Operator Algebras; Theory of C*-Algebra Bruce Blackadar Book 2006 Springer-Verlag Berlin Heidelberg 2006 Algebra.C*-algebras.Hilbert space.

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Chronological

C*-Algebras,out functional calculus and spectrum of elements. We consider only complex Banach algebras and C.-algebras; there is a similar theory of real C.-algebras (see, for example, [Goo82], [Sch93], or [Con01]).

头盔

Further Structure,ecisely the class of C.-algebras with “tractable” representation theory and which therefore has traditionally been regarded as the class of “reasonable” C.-algebras whose structure can be “understood.” Although in recent years the structure theory of C.-algebras has been largely divorced from repres

Bouquet

-Theory and Finiteness, the important notion of quasidiagonality, which may be regarded as a type of strong finiteness. Another strong notion of finiteness, stable rank one, is included in a general discussion of stable rank. .-Theory is a vast subject (other parts of the theory are described more comprehensively in [CST0

青石板

审问,审讯

https://doi.org/10.1007/3-540-28517-2Algebra; C*-algebras; Hilbert space; K-theory; Volume; non-commutative topology; operator algebras; von Neu

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white-matter

铁砧

Operators on Hilbert Space,We briefly review the most important and relevant structure facts about Hilbert space.

Paraplegia

Von Neumann Algebras,Recall (I.9) that a von Neumann algebra is a .-subalgebra . of .(.) for a Hilbert space ., satisfying . = .. A von Neumann algebra is unital, weakly closed, and contains an abundance of projections.