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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Bibliographic Details
Published in:International journal of mathematics and mathematical sciences 2001-01, Vol.25 (2), p.129-133
Main Authors: Duyar, C, Seferoglu, H
Format: Article
Language:English
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,}.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171201004458