Submajorization inequalities for matrices of τ-measurable operators

Ahat R. Raikhan M.
2022 Taylor and Francis Ltd.

Linear and Multilinear Algebra
2022 #70 Issue 16 3159 - 3170 pp.

Let (Formula presented.) be a semi-finite von Neumann algebra, (Formula presented.) be the set of all τ-measurable operators, (Formula presented.) be the generalized singular number of (Formula presented.) and (Formula presented.) be a concave function. We proved that if (Formula presented.) are normal operators in (Formula presented.), then (Formula presented.) is submajorized by (Formula presented.). As an application, we obtained that if x is a matrix of normal operators (Formula presented.) in (Formula presented.), then (Formula presented.) is submajorized by (Formula presented.).

Normal operator , semifinite von Neumann algebra , submajorization , τ-measurable operator

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College of Mathematics and Systems Science, Xinjiang University, Urumqi, China
Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan

College of Mathematics and Systems Science
Faculty of Mechanics and Mathematics

10 лет помогаем публиковать статьи Международный издатель

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