» Isomorphisms of Tits--Kantor--Koecher Lie algebras of JB*-triples
02/04/25 09:00 from math.FA updates on arXiv.org
arXiv:2504.00534v1 Announce Type: new Abstract: We characterise the isomorphisms of Tits--Kantor--Koecher Lie algebras of JB*-triples as a class of surjective linear isometries and show how these algebras form a category equivalent to th...

» Tikhonov Well-Posedness and Differentiability on Asymmetrically Normed Spaces
02/04/25 09:00 from math.FA updates on arXiv.org
arXiv:2504.00675v1 Announce Type: new Abstract: On normed vector spaces there is a well-known connection between the Tikhonov well-posedness of a minimisation problem and the differentiability of an associated convex conjugate function. ...

» Ces\`{a}ro Operators on Rooted Directed Trees
02/04/25 09:00 from math.FA updates on arXiv.org
arXiv:2504.00807v1 Announce Type: new Abstract: In this paper, we introduce and study the notion of the Ces\'aro operator $C_{\mathscr T}$ on a rooted directed tree $\mathscr T.$ If $\mathscr T$ is the rooted tree with no branching verte...

» Symmetric form geometric constant related to isosceles orthogonality in Banach spaces
02/04/25 09:00 from math.FA updates on arXiv.org
arXiv:2504.00826v1 Announce Type: new Abstract: In this article, we introduce a novel geometric constant $L_X(t)$, which provides an equivalent definition of the von Neumann-Jordan constant from an orthogonal perspective. First, we prese...

» The skew James type constant in Banach spaces
02/04/25 09:00 from math.FA updates on arXiv.org
arXiv:2504.00827v1 Announce Type: new Abstract: In the past, Takahashi has introduced the James type constants $\mathcal{J}_{\mathcal{X} ,t}(\tau)$. Building upon this foundation, we introduce an innovative skew James type constant, deno...

» Topological Properties of the Effective Reproduction Number in an Heterogeneous SIS Model
02/04/25 09:00 from math.FA updates on arXiv.org
arXiv:2504.00055v1 Announce Type: cross Abstract: This present results lay the foundations for the study of the optimal allocation of vaccine in the simple epidemiological SIS model where one consider a very general heterogeneous populat...

» Poisson transforms on right-angled Artin monoids
02/04/25 09:00 from math.FA updates on arXiv.org
arXiv:2504.00127v1 Announce Type: cross Abstract: We introduce the notion of the weak Brehmer's condition and prove that the Cauchy transform for a representation of a right-angled Artin monoid is bounded under such conditions. As a resu...

» New characterizations for Fock spaces
02/04/25 09:00 from math.FA updates on arXiv.org
arXiv:2504.00545v1 Announce Type: cross Abstract: We show that the maximal Fock space $F^\infty_\alpha$ on $C^n$ is a Lipschitz space, that is, there exists a distance $d_\alpha$ on $C^n$ such that an entire function $f$ on $C^n$ belongs...