Extensions of Nazarov–Podkorytov lemma in non-commutative spaces of τ-measurable operators
Dauitbek D. Tulenov K.S.
February 2024Birkhauser
Positivity
2024#28Issue 1
In this work, we study a comparison of norms in non-commutative spaces of τ-measurable operators associated with a semifinite von Neumann algebra. In particular, we obtain Nazarov–Podkorytov type lemma Nazarov et al. (Complex analysis, operators, and related topics. Operatory theory: advances, vol 113, pp 247–267, 2000) and extend the main results in Astashkin et al. (Math Ann, 2023. https://doi.org/10.1007/s00208-023-02606-w) to non-commutative settings. Moreover, we complete the range of the parameter p for 0
44A15 , 46E30 , 46L51 , 46L52 , 47B10 , 47C15 , Non-commutative Lp-space , Non-commutative Orlicz space , Non-commutative symmetric space , Secondary 47L20 , Semifinite von Neumann algebra , τ-Measurable operator
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Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
Department of Mathematics: Analysis
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