Hannes Thiel

activity

20102025

most citedThe Cuntz Semigroup and Comparison of Open Projections

61 citations · 276 across the 37 of their papers we have counts for

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8 papers · 1 filter

math.FA2018★ 2 cited

Isomorphisms of Algebras of Convolution Operators

Eusebio Gardella, Hannes Thiel

For $p, q \in [1, \infty)$ , we study the isomorphism problem for the $p$ - and $q$ -convolution algebras associated to locally compact groups. While it is well known that not every grou…

math.FA2017

Preduals for spaces of operators involving Hilbert spaces and trace-class operators

Hannes Thiel

Continuing the study of preduals of spaces $L (H, Y)$ of bounded, linear maps, we consider the situation that $H$ is a Hilbert space. We establish a natural correspondence…

math.FA2017

Extending representations of Banach algebras to their biduals

Eusebio Gardella, Hannes Thiel

We show that a representation of a Banach algebra $A$ on a Banach space $X$ can be extended to a canonical representation of $A^{**}$ on $X$ if and only if certain orbit maps $A\to…

math.FA2016★ 24 cited

Representations of $p$ -convolution algebras on $L^{q}$ -spaces

Eusebio Gardella, Hannes Thiel

For a nontrivial locally compact group $G$ , and $p \in [1, \infty)$ , consider the Banach algebras of $p$ -pseudofunctions, $p$ -pseudomeasures, $p$ -convolvers, and the full group $L^{p}$ …

math.FA2016

Preduals and complementation of spaces of bounded linear operators

Eusebio Gardella, Hannes Thiel

For Banach spaces X and Y, we establish a natural bijection between preduals of Y and preduals of L(X,Y) that respect the right L(X)-module structure. If X is reflexive, it follows…

math.FA2014★ 1 cited

Functoriality of group algebras acting on $L^{p}$ -spaces

Eusebio Gardella, Hannes Thiel

We continue our study of group algebras acting on $L^{p}$ -spaces, particularly of algebras of $p$ -pseudofunctions of locally compact groups. We focus on the functoriality properties…

math.FA2014★ 34 cited

Group algebras acting on $L^{p}$ -spaces

Eusebio Gardella, Hannes Thiel

For $p \in [1, \infty)$ we study representations of a locally compact group $G$ on $L^{p}$ -spaces and $QS L^{p}$ -spaces. The universal completions $F^{p} (G)$ and $F_{QS}^{p} (G)$ of $…

math.FA2014★ 15 cited

Banach algebras generated by an invertible isometry of an $L^{p}$ -space

Eusebio Gardella, Hannes Thiel

We provide a complete description of those Banach algebras that are generated by an invertible isometry of an $L^{p}$ -space together with its inverse. Examples include the algebra $P…

Isomorphisms of Algebras of Convolution Operators

Preduals for spaces of operators involving Hilbert spaces and trace-class operators

Extending representations of Banach algebras to their biduals

Representations of p-convolution algebras on Lq-spaces

Preduals and complementation of spaces of bounded linear operators

Functoriality of group algebras acting on Lp-spaces

Group algebras acting on Lp-spaces

Banach algebras generated by an invertible isometry of an Lp-space

Representations of $p$ -convolution algebras on $L^{q}$ -spaces

Functoriality of group algebras acting on $L^{p}$ -spaces

Group algebras acting on $L^{p}$ -spaces

Banach algebras generated by an invertible isometry of an $L^{p}$ -space