ON SPECTRAL CONTINUITIES AND TENSOR PRODUCTS OF OPERATORS

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Published: Feb 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.1.113
Keywords:
class A operators, spectral continuities, class A(k) operators, tensor products
Mathematics Subject Classification (2020):
Primary 47A10, 47B20

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In Hyoun Kim
Department of Mathematics, University of Incheon

Abstract





Let T be a bounded linear operator on a complex Hilbert space H. An operator T is called class A operator if jT 2j (cid:21) jT j2: and is called class A(k) operator if (T *jT j2kT ) k+1 (cid:21) jT j2: In this paper, we show that (cid:27) is continuous when restricted to the set of class A operators and consider the tensor products of class A(k) operators.





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Article Details

Issue
Vol. 24 No. 1 (2011)
Section
Articles