6 citations · 14 across the 14 of their papers we have counts for
5 papers · 1 filter
Aspects of -adic operator algebras
Anton Claußnitzer, Andreas Thom
In this article, we propose a -adic analogue of complex Hilbert space and consider generalizations of some well-known theorems from functional analysis and the basic study of op…
The Liouville property and random walks on topological groups
Friedrich Martin Schneider, Andreas Thom
We study harmonic functions and Poisson boundaries for Borel probability measures on general (i.e., not necessarily locally compact) topological groups, and we prove that a second-…
A note on commutators in algebras of unbounded operators
Richard V. Kadison, Zhe Liu, Andreas Thom
We show that the identity is the sum of two commutators in the algebra of all operators affiliated with a von Neumann algebra of type II, settling a question, in the negative,…
Approximation of functions by neural networks
Andreas Thom
We study the approximation of measurable functions on the hypercube by functions arising from affine neural networks. Our main achievement is an approximation of any measurable fun…
On the isometrisability of group actions on p-spaces
Maria Gerasimova, Andreas Thom
In this note we consider a -isometrisability property of discrete groups. If this property is equivalent to unitarisability. We prove that any group containing a non-abeli…