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학술저널

ON SPECTRAL CONTINUITIES AND TENSOR PRODUCTS OF OPERATORS

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Let T be a bounded linear operator on a complex Hilbert space H. An operator T is called class A operator if jT2j  jTj2: and is called class A(k) operator if (T jTj2kT k+1  jTj2: In paper, we show that  is continuous when restricted to the set of class A operators and consider the tensor products of class A(k) operators.

1. Introduction

2. Spectral continuity of class A operators

3. Tensor products

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