Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Fendler, Gero"'
Autor:
Fendler, Gero, Leinert, Michael
If $G$ is a locally compact group, $CD(G)$ the algebra of convolution dominated operators on $L^2(G)$ then an important question is: Is $\mathbb{C}1+CD(G)$ (respectively $CD(G)$ if $G$ is discrete) inverse-closed in the bounded operators on $L^2(G)$?
Externí odkaz:
http://arxiv.org/abs/1711.08638
Autor:
Fendler, Gero, Leinert, Michael
For a locally compact group $G$ we consider the algebra $CD(G)$ of convolution dominated operators on $L^{2}(G)$: An operator $A:L^2(G)\to L^2(G)$ is called convolution dominated if there exists $a\in L^1(G)$ such that for all $f \in L^2(G)$ $ |Af(x)
Externí odkaz:
http://arxiv.org/abs/1512.06883
Autor:
Fendler, Gero, Leinert, Michael
It is shown that the dual $\hat{A}$ of a separable $C^{\ast}$-algebra $A$ is discrete if and only if its Banach space dual has the weak$^{\ast}$-fixed point property. We prove further that these properties are equivalent to the uniform weak$^{\ast}$
Externí odkaz:
http://arxiv.org/abs/1303.5557
Autor:
Fendler, Gero
We characterize relatively norm compact sets in the regular $C^*$-algebra of finitely generated Coxeter groups using a geometrically defined positive semigroup acting on the algebra.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1207.1557
Autor:
Fendler, Gero
These are the notes of a lecture given at the university of Wroclaw in 1996. We present results of semigroups of (sub)positive contractions on L^p-spaces. The dilation theorem of Akcoglue and sucheston is considered as a starting point. We construct
Externí odkaz:
http://arxiv.org/abs/1202.5425
Publikováno v:
Integr. Equ. Oper. Th. 61 (2008), 493 - 509
We study infinite matrices $A$ indexed by a discrete group $G$ that are dominated by a convolution operator in the sense that $|(Ac)(x)| \leq (a \ast |c|)(x)$ for $x\in G$ and some $a\in \ell ^1(G)$. This class of "convolution-dominated" matrices for
Externí odkaz:
http://arxiv.org/abs/0801.0385
Autor:
Fendler, gero
Given a Coxeter system of large type we prove a non--commutative central limit theorem: After normalisation with the square root of n the characteristic function of the set of the first n generators tends in distribution to Wigners semi--circle law.
Externí odkaz:
http://arxiv.org/abs/math/0311076
Autor:
Fendler, Gero
Publikováno v:
Illinois Journal of Mathematics Vol.47, No. 3 (2003)
Let (G,S) be a finitely generated Coxeter group, such that the Coxeter system is indecomposable and the canonical bilinear form is indefinite but non-degenerate. We show that the reduced C-*-algebra of G is simple with unique normalised trace. For an
Externí odkaz:
http://arxiv.org/abs/math/0308255
Autor:
Fendler, Gero
Let (G,S) be a Coxeter group. We construct a continuation, to the open unit disc, of the unitary representations associated to the positive definite functions g -> r^l(g). (Here 0
Externí odkaz:
http://arxiv.org/abs/math/0203052
Autor:
Fendler, Gero, Kaiblinger, Norbert
Publikováno v:
In Linear Algebra and Its Applications 1 January 2013 438(1):288-302