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On quasi-class A operators
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Let QA denote the class of bounded linear Hilbert space operators T which satisfy the operator inequality T^*|T^2|T ≥ T^*|T|^2T. Let f be an analytic function defined on an open neighbourhood U of σ(T) such that f is non-constant on the connected components of U. We generalize a theorem of Sheth [10] to f(T) ∈ QA.
Abstract
Let QA denote the class of bounded linear Hilbert space operators T which satisfy the operator inequality T^*|T^2|T ≥ T^*|T|^2T. Let f be an analytic function defined on an open neighbourhood U of σ(T) such that f is non-constant on the connected components of U. We generalize a theorem of Sheth [10] to f(T) ∈ QA.
참고문헌 (11)
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