Results 181 to 190 of about 2,144 (211)
Topology-preserving Hodge decomposition in the Eulerian representation. [PDF]
Su Z, Tong Y, Wei GW.
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Refinements and Generalizations of the Shannon Lower Bound via Extensions of the Kraft Inequality. [PDF]
Merhav N.
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Structural dualities between the Schrödinger equation and its ultra-slow-light counterpart in one spatial and one temporal dimension. [PDF]
Rojas J, Casanova E, Arias M.
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A criterion for Hill operators to be spectral operators of scalar type [PDF]
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Fritz Gesztesy, Gesztesy Fritz
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On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials
Abstract 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
Marat V Markin
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Compact perturbations of scalar type spectral operators
Journal of Operator Theory, 2021We 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.\ Foia\c{s}, I.B.\ Jung, E.\ Ko, C. Pearcy, \textit{J.\ Funct.
Albrecht, Ernst, Chevreau, Bernard
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Scalar-type spectral operators andC(?)-operational calculi
Integral Equations and Operator Theory, 1990It is shown that a continuous linear operatorT in a locally convex spaceX is a scalar-type spectral operator if and only if it admits aC(δ(T))-operational calculus of a certain kind. This is a genuine extension of previous results of this type since we allow for the case when δ(T){∞} is an unbounded set in the complex planeC, a phenomenon which occurs ...
Werner J Ricker
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Scalar-type spectral operators and holomorphic semigroups
We show that a linear operator (possibly unbounded), A, on a reflexive Banach space, X, is a scalar-type spectral operator, with non-negative spectrum, if and only if the following conditions hold. (1) A generates a uniformly bounded holomorphic semigroup \(\{e^{- zA}\}_{Re(z)\geq 0}.\) (2) If \(F_ N(s)\equiv \int^{N}_{-N}\frac{\sin (sr)}{r}e^{irA}dr\),
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On some Algebras of Operators Generated by a Scalar-Type Spectral Operator
Journal of the London Mathematical Society, 1965exaly +3 more sources

