Non-commutative analogues of weak compactness criteria in symmetric spaces
Nessipbayev Y. Sukochev F. Tulenov K.
April 2021Birkhauser
Advances in Operator Theory
2021#6Issue 2
The aim of this work is to study M. Nowak’s and K. M. Chong’s weak compactness criteria in non-commutative Orlicz spaces. In addition, we obtain a non-commutative analogue of Pełczyński’s property (V) in Orlicz spaces of τ-measurable operators. We also obtain Kolmogorov’s compactness criterion in terms of conditional expectations in non-commutative symmetric spaces.
Finite and semi-finite von Neumann algebras , Non-commutative Orlicz spaces , Orlicz spaces , Relative weak compactness , Weak compactness , τ-Measurable operators
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Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
International Information Technology University, Almaty, 050040, Kazakhstan
School of Mathematics and Statistics, University of New South Wales, Kensington, 2052, NSW, Australia
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
International Information Technology University
School of Mathematics and Statistics
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