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ON OPERATORS WITH AN ABSOLUTE VALUE CONDITION
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 Title & Authors
ON OPERATORS WITH AN ABSOLUTE VALUE CONDITION
Jeon, In-Ho; DUGGAL, B.P.;
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 Abstract
Let (equation omitted) denote the class of bounded linear Hilbert space operators with the property that . In this paper we show that (equation omitted)-operators are finitely ascensive and that, for non-zero operators A and B, A (equation omitted) B is in (equation omitted) if and only if A and B are in (equation omitted). Also, it is shown that if A is an operator such that p(A) is in (equation omitted) for a non-trivial polynomial p, then Weyl's theorem holds for f(A), where f is a function analytic on an open neighborhood of the spectrum of A.
 Keywords
class A operator;polynomially class A operator;tensor product;Weyl′s theorem.;
 Language
English
 Cited by
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