Operator upper bounds for Davis-Choi-Jensen's difference in Hilbert spaces

Autor:	Dragomir Silvestru Sever
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	selfadjoint bounded linear operators functions of operators operator convex functions jensen's operator inequality linear positive and normalized map Mathematics QA1-939
Zdroj:	Mathematica Moravica, Vol 28, Iss 1, Pp 39-51 (2024)
Druh dokumentu:	article
ISSN:	1450-5932 2560-5542
DOI:	10.5937/MatMor2401039S
Popis:	In this paper we obtain several operator inequalities providing upper bounds for the Davis-Choi-Jensen's Difference Ph (f (A)) - f (Ph (A)) for any convex function f : I → R, any selfadjoint operator A in H with the spectrum Sp (A) ⊂ I and any linear, positive and normalized map Ph : B (H) → B (K), where H and K are Hilbert spaces. Some examples of convex and operator convex functions are also provided.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/70d026597de34fac985124ea0e1fd12b Zobrazit plný text záznamu View record in DOAJ