Results 11 to 20 of about 109,954 (249)
Compact perturbations of scalar type spectral operators
Journal of Operator Theory, 2020 We consider compact perturbations S=DΛ+K of normal diagonal operators DΛ by certain compact operators. Sufficient conditions for K to ensure the existence of non-trivial hyperinvariant subspaces for S have recently been obtained by Foia\c{s} et al. in C.\
E. Albrecht, B. Chevreau
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On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials [PDF]
Demonstratio Mathematica, 2018 Generalizing the case of a normal operator in a complex Hilbert space, we give a straightforward proof of the non-hypercyclicity of a scalar type spectral operator A in a complex Banach space as well as of the collection
M. V. Markin
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ON REFLEXIVITY OF SCALAR-TYPE SPECTRAL OPERATORS
Demonstratio Mathematica, 1999 Introduction The aim of the present paper is to give a dual version of the reflexivity result of scalar-type spectral operators in the quasi-complete locally convex spaces proved in [4].The method in our result is based on the barrelled locally convex C(.
Omer Goek
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On scalar type spectral operators, infinite differentiable and Gevrey ultradifferentiable C0-semigroups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Necessary and sufficient conditions for a scalar type spectral operator in a Banach space to be a generator of an infinite differentiable or a Gevrey ultradifferentiable C0-semigroup are found, the latter formulated exclusively in terms of the operator's
M. V. Markin
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On Boolean algebras of projections and scalar-type spectral operators [PDF]
Proceedings of the American Mathematical Society, 1983 It is shown that the weakly closed operator algebra generated by an equicontinuous σ \sigma -complete Boolean algebra of projections on a quasi-complete locally convex space consists entirely of scalar-type operators. This extends W. Badé’s well-known theorem that the same assertion is valid for Banach spaces; however, the technique of
W. Ricker
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On the characterization of scalar type spectral operators [PDF]
Studia Mathematica, 2008 The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
P. Cojuhari, A. Gomilko
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Algebras of unbounded scalar-type spectral operators. [PDF]
Pacific Journal of Mathematics, 1987 The main result of the paper is as follows. Let P:\(\Sigma\to L(X)\) be a closed spectral measure on the quasicomplete locally convex space X and T a densely defined linear operator on X with domain invariant under each operator of the form \(\int_{\Omega}fdP\), where f is a complex bounded \(\Sigma\)-measurable function.
P. Dodds, B. Pagter
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Reflexivity and order properties of scalar-type spectral operators in locally convex spaces [PDF]
Transactions of the American Mathematical Society, 1986 One of the principal results of the paper is that each scalar-type spectral operator in the quasicomplete locally convex space X X is reflexive. The paper also studies in detail the relation between the theory of equicontinuous spectral measures in locally convex spaces and the order properties of equicontinuous Bade complete Boolean ...
P. Dodds, B. Pagter, W. Ricker
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On scalar-type spectral operators and Carleman ultradifferentiable C0-semigroups [PDF]
Ukrainian Mathematical Journal, 2008 Necessary and sufficient conditions for a scalar-type spectral operator in a Banach space to be a generator of a Carleman ultradifferentiable C 0-semigroup are found. The conditions are formulated exclusively in terms of the spectrum of the operator.
M. V. Markin
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STOKES-TYPE INTEGRAL EQUALITIES FOR SCALARLY ESSENTIALLY INTEGRABLE LOCALLY CONVEX VECTOR-VALUED FORMS WHICH ARE FUNCTIONS OF AN UNBOUNDED SPECTRAL OPERATOR [PDF]
Eurasian Mathematical Journal, 2020 In this work we establish a Stokes-type integral equality for scalarly essentially integrable forms on an orientable smooth manifold with values in the locally convex linear space $\langle B(G),\sigma(B(G),\mathcal{N})\rangle$, where $G$ is a complex ...
Benedetto Silvestri
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