An extension of Bhatia and Kittaneh’s result and its application


Burgumbayeva S.K. Kassanova A.N.
January 2023Birkhauser

Advances in Operator Theory
2023#8Issue 1

Let (M, τ) be a semi-finite von Neumann algebra, xy be τ-measurable operators and z be a complex number. The authors proved several inequalities relating the generalized singular values of x+ zy and x+ | z| y, i.e., extended Bhatia and Kittaneh’s result about matrices to τ-measurable operators. Using this, they extended some inequalities related accretive–dissipative operator matrices.

Accretive–dissipative operator matrices , Logarithmically submajorization , Submajorization

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Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan

Faculty of Mechanics and Mathematics

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