On submajorization inequalities for matrices of measurable operators
Junis S. Oshanova A.
1 January 2021Birkhauser
Advances in Operator Theory
2021#6Issue 1
Let M be a semifinite von Neumann algebra. We proved that if (xzz∗y) and (xz∗zy) are positive matrices with entries in M, then z is logarithmically submajorized by x12y12. Using this, we proved some related submajorization inequalities.
Matrix of operators , Semi-finite von Neumann algebra , Submajorization
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School of Mathematics and Statistics, Yili Normal University, Yining, 835000, China
Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Nur-Sultan, 010008, Kazakhstan
School of Mathematics and Statistics
Faculty of Mechanics and Mathematics
10 лет помогаем публиковать статьи Международный издатель
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