M. Leinert

activity

19942022

A C (σ)

4 citations · 5 across the 7 of their papers we have counts for

collaborators

10 papers

math.FA2022

The Banach algebras $A C (σ)$ and $B V (σ)$

Ian Doust, Michael Leinert, Alan Stoneham

The spaces $B V (σ)$ and $A C (σ)$ were introduced as part of a program to find a general theory which covers both well-bounded operators and trigonometrically well-bounded operators a…

math.FA2017

Convolution dominated operators on compact extensions of abelian groups

Gero Fendler, Michael Leinert

If $G$ is a locally compact group, $C D (G)$ the algebra of convolution dominated operators on $L^{2} (G)$ then an important question is: Is $C 1 + C D (G)$ (respectively $C D (G)$ if…

math.FA2015

On Convolution Dominated Operators

Gero Fendler, Michael Leinert

For a locally compact group $G$ we consider the algebra $C D (G)$ of convolution dominated operators on $L^{2} (G)$ : An operator $A : L^{2} (G) \to L^{2} (G)$ is called convolution dominated i…

math.FA2014★ 1 cited

Wiener's theorem for positive definite functions on hypergroups

Walter R Bloom, John J. F. Fournier, Michael Leinert

The following theorem on the circle group $T$ is due to Norbert Wiener: If $f \in L^{1} (T)$ has non-negative Fourier coefficients and is square integr…

math.FA2013

Isomorphisms of $A C (σ)$ spaces

Ian Doust, Michael Leinert

Analogues of the classical Banach-Stone theorem for spaces of continuous functions are studied in the context of the spaces of absolutely continuous functions introduced by Ashton…

math.FA2013★ 4 cited

Approximation in $A C (σ)$

Ian Doust, Michael Leinert, Alan Stoneham

For a nonempty compact subset $σ$ in the plane, the space $A C (σ)$ is the closure of the space of complex polynomials in two real variables under a particular variation norm. In the…

math.OA2013

Separable $C^{}$ -Algebras and weak $^{}$ -fixed point property

Gero Fendler, Michael Leinert

It is shown that the dual $A^$ of a separable $C^{*}$ -algebra $A$ is discrete if and only if its Banach space dual has the weak $^{*}$ -fixed point property. We prove furt…

math.OA2012

Inverse-Closed Subalgebras of Noncommutative Tori

Karlheinz Gröchenig, Michael Leinert

We give a systematic construction of inverse-closed (Banach) subalgebras in general higher-dimensional non-commutative tori

math.FA2008

Convolution-Dominated Operators on Discrete Groups

Gero Fendler, Karlheinz Gröchenig, Michael Leinert

We study infinite matrices $A$ indexed by a discrete group $G$ that are dominated by a convolution operator in the sense that $∣ (A c) (x) ∣ \leq (a * ∣ c ∣) (x)$ for $x \in G$ and some…

funct-an1994

Convolution and Limit Theorems for Conditionally Free Random Variables

Marek Bozejko, Michael Leinert, Roland Speicher

We introduce the notion of a conditionally free product and conditionally free convolution. We describe this convolution both from a combinatorial point of view, by showing its con…

The Banach algebras AC(σ) and BV(σ)

Convolution dominated operators on compact extensions of abelian groups

On Convolution Dominated Operators

Wiener's theorem for positive definite functions on hypergroups

Isomorphisms of AC(σ) spaces

Approximation in AC(σ)

Separable C∗-Algebras and weak∗-fixed point property

Inverse-Closed Subalgebras of Noncommutative Tori

Convolution-Dominated Operators on Discrete Groups

Convolution and Limit Theorems for Conditionally Free Random Variables

The Banach algebras $A C (σ)$ and $B V (σ)$

Isomorphisms of $A C (σ)$ spaces

Approximation in $A C (σ)$

Separable $C^{}$ -Algebras and weak $^{}$ -fixed point property