Noncommutative symmetric spaces associated with the weight


关于权的非交换对称空间
Bekjan T.N.
2023Science Press

Scientia Sinica Mathematica
2023#53Issue 121789 - 1798 pp.

We define noncommutative symmetric spaces associated with the weight and study their properties, and prove that those spaces are independent of the choice of the weight up to isometric isomorphisms. We also introduce noncommutative symmetric Hardy spaces and give their properties, and show that those Hardy spaces are independent of the choice of the weight up to isometric isomorphisms.

faithful normal locally finite weight , noncommutative symmetric Hardy space , noncommutative symmetric space , semifinite von Neumann algebra

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Department of Computing and Data Science, Astana IT University, Astana, 010000, Kazakhstan

Department of Computing and Data Science

10 лет помогаем публиковать статьи Международный издатель

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