Putnam’s inequality for $p$-hyponormal operators
نویسندگان
چکیده
منابع مشابه
ON p-HYPONORMAL OPERATORS
In this paper we show that p-hyponormal operators with 0 / ∈ σ(|T | 1 2 r ) are subscalar. As a corollary, we get that such operators with rich spectra have non-trivial invariant subspaces.
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We prove an n-tuple analogue of the Putnam area inequality for the spectrum of a single p-hyponormal operator. Let B H denote the algebra of operators (i.e. bounded linear transformations) on a separable Hilbert space H. The operator A 2 B H is said to be p-hyponormal, 0 < p 1, if jA j2p jAj2p. Let H p denote the class of p-hyponormal operators. Then H 1 consists of the class of p-hyponorma...
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A survey of the theory of k-hyponormal operators starts with the construction of a polynomially hyponormal operator which is not subnormal. This is achieved via a natural dictionary between positive functionals on specific convex cones of polynomials and linear bounded operators acting on a Hilbert space, with a distinguished cyclic vector. The class of unilateral weighted shifts provides an op...
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In [1] D. Harrington and R. Whitley examined several questions of seminormality for composition operators. In that article they raise the question of finding a measure theoretic characterization of hyponormality for composition operators. In this article we establish criteria for hyponormality for weighted composition operators. By restricting attention to the case of weight function equal to 1...
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An asymmetric Fuglede-Putnam’s Theorem for w -hyponormal operators and dominant operators is proved, as a consequence of this result, we obtain that the range of the generalized derivation induced by the above classes of operators is orthogonal to its kernel. Mathematics subject classification (2010): 47B47, 47A30, 47B20.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1995-1246519-3