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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On analyticity of local resolvents and existence of spectral subspaces

Author: Che Kao Fong
Journal: Proc. Amer. Math. Soc. 65 (1977), 99-102
MSC: Primary 47A15
MathSciNet review: 0445307
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Abstract: We present some sufficient conditions for a function from an open set in C into a Hilbert space H such that $ (T - z)f(z) = x(T \in B(H)$ and $ x \in H$) to be analytic. As an application we show that hyperinvariant subspaces exist for certain class of operators.

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PII: S 0002-9939(1977)0445307-4
Keywords: Approximate point spectrum, spectral subspace, M-hyponormal operator
Article copyright: © Copyright 1977 American Mathematical Society