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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Structure theorem for $ A$-compact operators


Author: G. D. Lakhani
Journal: Proc. Amer. Math. Soc. 61 (1976), 305-309
MSC: Primary 47A60; Secondary 47B05
DOI: https://doi.org/10.1090/S0002-9939-1976-0428087-7
MathSciNet review: 0428087
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Abstract: A contraction $ T$ defined on a complex Hilbert space is called $ A$-compact if there exists a nonzero function $ f$ analytic in the open unit disc and continuous on the closed disc such that $ f(T)$ is a compact operator. In this paper, the factorization of $ f$ is used to obtain a structure theorem which describes the spectrum of $ T$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0428087-7
Keywords: Polynomially compact operators
Article copyright: © Copyright 1976 American Mathematical Society