Marcel Scherer

activity

20232025

collaborators

3 papers

math.FA2025

The SOT-closure of the set of 2-isometries

Marcel Scherer

We show that the set of $2$ -isometries on an infinite-dimensional Hilbert space is not closed in the strong operator topology. In fact, we prove that its SOT-closure coincides with…

math.FA2024

The Hyperrigidity Conjecture for compact convex sets in $R^{2}$

Marcel Scherer

We prove that for every compact, convex subset $K \subset R^{2}$ the operator system $A (K)$ , consisting of all continuous affine functions on $K$ , is hyperrigid in the C*-alge…

math.FA2023

Spectra of Quotient Modules

Michael Didas, Jörg Eschmeier, Michael Hartz +1

We determine the Taylor spectra of quotient tuples of the $d$ -shift on Drury-Arveson spaces with finite-dimensional coefficient spaces. We show the the Taylor spectrum can be descr…

The SOT-closure of the set of 2-isometries

The Hyperrigidity Conjecture for compact convex sets in R2

Spectra of Quotient Modules

The Hyperrigidity Conjecture for compact convex sets in $R^{2}$