An Operator Extension of Čebyšev Inequality

Autor:	Moradi Hamid Reza, Omidvar Mohsen Erfanian, Dragomir Silvestru Sever
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	čebyšev inequality self-adjoint operators synchronous (asynchronous) functions functions of self-adjoint operators positive linear map primary 47a63 secondary 47a60 Mathematics QA1-939
Zdroj:	Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 25, Iss 2, Pp 135-147 (2017)
Druh dokumentu:	article
ISSN:	1844-0835 2017-0025
DOI:	10.1515/auom-2017-0025
Popis:	Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))║} where A is a self-adjoint and compact operator on B(ℋ ), f, g ∈ C (sp (A)) continuous and non-negative functions and ø: B(ℋ ) → B(ℋ ) be a n-normalized bounded positive linear map. In addition, by using the concept of quadruple D-synchronous functions which is generalizes the concept of a pair of synchronous functions, we establish an inequality similar to čebyšev inequality.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/83dfa7e843bc4f56bd760a339d8d7baf Zobrazit plný text záznamu View record in DOAJ