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On a Kleinecke-Shirokov theorem.
- Source :
- Czechoslovak Mathematical Journal; Oct2021, Vol. 71 Issue 3, p817-822, 6p
- Publication Year :
- 2021
-
Abstract
- We prove that for normal operators N<subscript>1</subscript>, N 2 ∈ ℒ (ℋ) , the generalized commutator [N<subscript>1</subscript>, N<subscript>2</subscript>; X] approaches zero when [N<subscript>1</subscript>, N<subscript>2</subscript>; [N<subscript>1</subscript>, N<subscript>2</subscript>; X]] tends to zero in the norm of the Schatten-von Neumann class C p with p > 1 and X varies in a bounded set of such a class. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00114642
- Volume :
- 71
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Czechoslovak Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 151720174
- Full Text :
- https://doi.org/10.21136/CMJ.2021.0103-20