» Weighted Orlicz $*$-algebras on locally elliptic groups
27/03/25 09:00 from math.OA updates on arXiv.org
arXiv:2503.20735v1 Announce Type: cross Abstract: Let $G$ be a locally elliptic group, $(\Phi,\Psi)$ a complementary pair of Young functions, and $\omega: G \rightarrow [1,\infty)$ a weight function on $G$ such that the weighted Orlicz s...

» Payne-P\'olya-Weinberger inequalities on closed Riemannian manifolds
27/03/25 09:00 from math.SP updates on arXiv.org
arXiv:2503.20181v1 Announce Type: new Abstract: Payne-P\'olya-Weinberger inequalities are known to be exclusive to bounded Euclidean domains with Dirichlet boundary condition. In this paper, we discuss the corresponding inequalities on R...

» On the topological ranks of Banach $^*$-algebras associated with groups of subexponential growth
27/03/25 09:00 from math.OA updates on arXiv.org
arXiv:2503.15437v2 Announce Type: replace Abstract: Let $G$ be a group of subexponential growth and $\mathscr C\overset{q}{\to}G$ a Fell bundle. We show that any Banach $^*$-algebra that sits between the associated $\ell^1$-algebra $\ell...

» Continuous spectrum-shrinking maps and applications to preserver problems
27/03/25 09:00 from math.OA updates on arXiv.org
arXiv:2501.06840v2 Announce Type: replace-cross Abstract: For a positive integer $n$ let $\mathcal{X}_n$ be either the algebra $M_n$ of $n \times n$ complex matrices, the set $N_n$ of all $n \times n$ normal matrices, or any of the matri...

» Fully personalized PageRank and algebraic methods to distribute a random walker
27/03/25 09:00 from math.SP updates on arXiv.org
arXiv:2503.19927v1 Announce Type: cross Abstract: We present a comprehensive analysis of algebraic methods for controlling the stationary distribution of PageRank-like random walkers. Building upon existing literature, we compile and ext...

» The Schr\"oder-Bernstein property for operators on Hilbert spaces
27/03/25 09:00 from math.SP updates on arXiv.org
arXiv:2503.20140v1 Announce Type: cross Abstract: We establish that the complete theory of a Hilbert space equipped with a normal operator has the Schr\"oder-Berenstein property. This in particular answers a question of Argoty, Berenstei...

» Grand Net Spaces and Applications to Integral Operators
27/03/25 09:00 from math.FA updates on arXiv.org
arXiv:2503.20080v1 Announce Type: new Abstract: This paper introduces the concept of grand net spaces, a new framework that provides a unified setting for studying various function spaces. Building on the seminal works of [8] and [15], w...

» Orthogonalisability of joins of graphs
27/03/25 09:00 from math.SP updates on arXiv.org
arXiv:2503.20582v1 Announce Type: cross Abstract: A graph is said to be orthogonalisable if the set of real symmetric matrices whose off-diagonal pattern is prescribed by its edges contains an orthogonal matrix. We determine some necessa...