GENERALIZED KARCHER EQUATION, RELATIVE OPERATOR ENTROPY AND THE ANDO-HIAI INEQUALITY (Recent developments of operator theory by Banach space technique and related topics)

Autor:	Yamazaki, Takeaki
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	power mean Mathematics::Operator Algebras Positive definite operator operator mean operator monotone function Tsalise relative operator entropy Karcher equation the Ando-Hiai inequality 47A63 47A64 Mathematics::Differential Geometry relative operator entropy Karcher mean
Zdroj:	数理解析研究所講究録. 2073:44-54
ISSN:	1880-2818
Popis:	In this paper, we shall give a concrete relation between generalized Karcher equation and operator means as its solution. Next, we shall show two types of the Ando-Hiai inequalities for the solution of the generalized Karcher equations. In this discussion, we also give properties of relative operator entropy.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=jairo_______::6e1e15db863bddb416050de08b223277 http://hdl.handle.net/2433/242021 Zobrazit plný text záznamu