搜索结果: 1-15 共查到“泛函分析 Algebras”相关记录26条 . 查询时间(0.048 秒)
We give a brief overview of the area of Banach algebras, intended for a general mathematical audience.
A characterization of amenability of group actions on $C^\ast$-algebras
characterization amenability group actions $C^\ast$-algebras
2012/4/16
We show that coincidence of the full and reduced crossed product $C^\ast$-algebras of a group action on a unital commutative $C^\ast$-algebra implies amenability of the action whenever the group is ex...
Free evolution on algebras with two states II
Free evolution algebras two states II Operator Algebras
2012/4/17
Denote by $J$ the operator of coefficient stripping. We show that for any free convolution semigroup of measures $\nu_t$ with finite variance, applying a single stripping produces semicircular evoluti...
Reflexive Operator Algebras on Banach Spaces
operator algebras invariant subspace lattice Boolean algebra of projections spectral operator
2012/4/18
In this paper we study the reflexivity of a unital strongly closed algebra of operators with complemented invariant subspace lattice on a Banach space. We prove that if such an algebra contains a comp...
Cartan MASAs in von Neumann Algebras are Norming and a New Proof of Mercer's Theorem
Norming algebra Cartan MASA C*-diagonal
2012/3/1
In this note we observe that a result of Sinclair and Smith together with the Feldman-Moore description of a von Neumann algebra with a Cartan MASA shows that Cartan MASAs are norming. We also use the...
Polynomials of almost-normal arguments in $C^*$-algebras
Polynomials of almost-normal arguments Operator Algebras
2011/9/23
Abstract: The functional calculus for normal elements in $C^*$-algebras is an important tool of Analysis. We suggest an approximate substitute for such calculus for elements $a$ with the small self-co...
Topologies on Central Extensions of Von Neumann Algebras
Von Neumann Algebras Topologies Operator Algebras
2011/9/21
Abstract: Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ We introduce the topology $t_c(M)$ on $E(M)$ generated by a center-valued norm and prove that it coincides wi...
Krall-Laguerre commutative algebras of ordinary differential operators
Krall-Laguerre commutative algebras ordinary differential operators Classical Analysis and ODEs
2011/9/15
Abstract: In 1999, Grunbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators which have orthogonal polynomials as eigenfunctions. These polynomials ...
Jordan higher all-derivable points in triangular algebras
Jordan higher all-derivable point triangular algebra Jordan higher derivable linear mapping at G
2011/9/9
Abstract: Let ${\mathcal{T}}$ be a triangular algebra. We say that $D=\{D_{n}: n\in N\}\subseteq L({\mathcal{T}})$ is a Jordan higher derivable mapping at $G$ if $D_{n}(ST+TS)=\sum_{i+j=n}(D_{i}(S)D_{...
Cuntz-Pimsner algebras for subproduct systems
Cuntz-Pimsner algebras subproduct systems Operator Algebras
2011/9/6
Abstract: In this paper we generalize the notion of Cuntz-Pimsner algebras of $C^*$-correspondences to the setting of subproduct systems. The construction is justified in several ways, including the M...
Deformation of algebras associated to group cocycles
deformation Fell bundle K-theory Operator Algebras
2011/9/5
Abstract: We define a deformation of algebras endowed with coaction of the reduced group algebras. The deformation parameter is given by a 2-cocycle over the group. We prove K-theory isomorphisms for ...
Completely bounded representations of convolution algebras of locally compact quantum groups
Locally compact quantum group Fourier algebra completely bounded homomorphism corepresentation amenability
2011/9/1
Abstract: Given a locally compact quantum group $\G$, we study the question of when completely bounded homomorphisms $\pi:L^1(\mathbb G)\rightarrow\mathcal B(H)$ are similar to *-homomorphisms. By ana...
Characterizations of all-derivable points in nest algebras
All-derivable point nest algebra derivable linear mapping at G
2011/9/1
Abstract: Let $\mathcal{A}$ be an operator algebra on a Hilbert space. We say that an element $G\in {\mathcal{A}}$ is an all-derivable point of ${\mathcal{A}}$ if every derivable linear mapping $\phi$...
Exel and Stacey crossed products, and Cuntz-Pimsner algebras
Exel crossed product Stacey crossed product Cuntz-Pimsner algebra endomorphism
2011/8/25
Abstract: There are many different crossed products by an endomorphism of a C*-algebra, and constructions by Exel and Stacey have proved particularly useful. Here we show that every Exel crossed produ...
The Douglas property for multiplier algebras of operators
corona theorem, reproducing kernels Functional Analysis
2011/8/25
Abstract: For a collection of reproducing kernels k which includes those for the Hardy space of the polydisk and ball and for the Bergman space, k is a complete Pick kernel if and only if the multipli...