Some inequalities in B ( H )
Let H denote a separable Hilbert space and let B(H) be the space of bounded and linear operators from H to H. We define a subspace (A,B) of B(H), and prove two inequalities between the distance to (A,B) of each operator T in B(H), and the value sup{AnTBnT:n=1,2,}.
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| Published in | International journal of mathematics and mathematical sciences Vol. 25; no. 2; pp. 129 - 133 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Wiley
01.01.2001
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| Online Access | Get full text |
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| Summary: | Let H denote a separable Hilbert space and let B(H) be the space of bounded and linear operators from H to H. We define a subspace (A,B) of B(H), and prove two inequalities between the distance to (A,B) of each operator T in B(H), and the value sup{AnTBnT:n=1,2,}. |
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| Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/S0161171201004458 |