Some inequalities in B ( H )

C. Duyar and H. Seferoglu

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-5

Abstract:

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 Δ ( A , B ) of B ( H ) , and prove two inequalities between the distance to Δ ( A , B ) of each operator T in B ( H ) , and the value sup { ‖ A n T B n − T ‖ : n = 1 , 2 , … } .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:105401

DOI: 10.1155/S0161171201004458

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