Singular Value and Norm Inequalities for Positive τ- Measurable Operators


Alday M. Dauitbek D.
September 2025Springer

Bulletin of the Malaysian Mathematical Sciences Society
2025#48Issue 5

In this work, we establish singular value and norm inequalities for positive τ-measurable operators affiliated with semifinite von Neumann algebras. The results are formulated in the setting of noncommutative Lp-spaces and symmetric operator spaces, extending known inequalities to a broader noncommutative framework.

Generalised singular value function , Non-commutative Lp-space , Semifinite von Neumann algebra , Symmetric Banach operator space , τ- measurable operator

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Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan

Faculty of Mechanics and Mathematics
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University

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