Even positive-definite hyperbolically convex functions in a Hilbert space. Representations of Hilbert spaces by self-adjoint operators

UDC 517.98 The paper consists of two parts. In the first part, we establish sufficient and necessary conditions for the integral representation of even positive-definite hyperbolically convex (h.c.) functions $k(x),$ $x\in H$.  These functions are continuous in the $j$-topology.  The positive defini...

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Datum:2026
Hauptverfasser: Lopotko, O., Лопотко, Олег
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8379
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal

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Ukrains’kyi Matematychnyi Zhurnal