On submajorisation of the Rotfeld’s inequality

Alday M. Kudaibergenov S.
2023 University of Nis

Filomat
2023 #37 Issue 21 7009 - 7015 pp.

Let (M, τ) be a semi-finite von Neumann algebra, L₀ (M) be the set of all τ-measurable operators, (formula presented) be the generalized singular number of (formula presented). We proved that if (formula presented) is an increasing continuous function, then for any x, y in (formula presented) We also obtained that if (formula presented) is a concave function, then (formula presented) is | submajorized by µ( f (|x|)) + µ( f (|y|)).

Rotfeld’s inequality , semifinite von Neumann algebra , submajorisation , τ-measurable operator

Text of the article Перейти на текст статьи

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

Faculty of Mechanics and Mathematics

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026