» Constructing $k$-Kadison-Schwarz maps
13/03/26 09:00 from math.FA updates on arXiv.org
arXiv:2603.11204v1 Announce Type: new Abstract: We study k Kadison Schwarz (k KS) mappings on matrix algebras and derive explicit conditions ensuring the k KS property for two classes of maps parameterized by a single k-positive map.

» A counterexample to Fermi isospectral rigidity for two dimensional discrete periodic Schr\"odinger operators
13/03/26 09:00 from math.SP updates on arXiv.org
arXiv:2603.11183v1 Announce Type: new Abstract: Using numerical certification, we prove the existence of a nontrivial real-valued two dimensional periodic potential whose associated discrete Schr\"odinger operator is Fermi isospectral to...

» Spectral finiteness, quantum norm continuity and classical points
13/03/26 09:00 from math.FA updates on arXiv.org
arXiv:2603.12090v1 Announce Type: new Abstract: We prove various notions of uniform continuity for compact-quantum-group representations on Hilbert or Banach spaces equivalent to having finite spectrum, i.e. finitely many isotypic compon...

» Long-time asymptotics for the heat kernel and for heat equation solutions on homogeneous trees
13/03/26 09:00 from math.FA updates on arXiv.org
arXiv:2603.11232v1 Announce Type: cross Abstract: We study the large-time behavior of the continuous-time heat kernel and of solutions to the heat equation on homogeneous trees. First, we derive sharp asymptotic formulas for the heat ker...

» Modular Cocycles and Haar-Type Measures on Topological Loops
13/03/26 09:00 from math.FA updates on arXiv.org
arXiv:2603.11529v1 Announce Type: cross Abstract: This paper is a continuation of the author's companion work \cite{InoueQuasi} on Haar-type measures for topological quasigroups, where the quasigroup setting was analyzed in connection wi...

» The zeta function of regular trees, their special values and functional equations
13/03/26 09:00 from math.SP updates on arXiv.org
arXiv:2603.11359v1 Announce Type: cross Abstract: We determine the special values at positive integers of the spectral zeta function associated with the combinatorial Laplacian on the regular tree. These values admit explicit formulas in...