Results 211 to 220 of about 9,405,925 (227)

Scalar-type spectral operators andC(?)-operational calculi

Integral Equations and Operator Theory, 1990
It 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 ...
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Spectral Operators of Scalar Type in Grothendieck Spaces with the Dunford-Pettis Property

Bulletin of the London Mathematical Society, 1985
It is shown that if S is a continuous linear operator in a Banach space which is a Grothendieck space with the Dunford-Pettis property, then \(S=\sum^{m}_{j=1}z_ jP_ j\) for some complex numbers \(z_ j\) and disjoint commuting projections \(P_ j\), \(1\leq j\leq m\), whose sum is the identity operator. The proof is based on the fact that in such Banach
openaire   +2 more sources

Well-Bounded and Scalar-Type Spectral Operators on L^p Spaces

Journal of the London Mathematical Society, 1989
A well-bounded operator on a Banach space X is one which admits a functional calculus for the absolutely continuous functions on some compact interval of the real line. On Hilbert space it is known that every well-bounded operator with a contactive absolutely continuous functional calculus is self-adjoint.
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On Reflexive Scalar-Type Spectral Operators

Journal of the London Mathematical Society, 1974
Berkson, E., Dowson, H. R.
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On scalar-type spectral operators and Carleman ultradifferentiable C???-semigroups

2020
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openaire   +1 more source

Restrictions of Scalar-Type Spectral Operators

Bulletin of the London Mathematical Society, 1978
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On the Non-Hypercyclicity of Scalar Type Spectral Operators and Collections of Their Exponentials

Demonstratio Mathematica, 2020
Marat V Markin
exaly  

On some Algebras of Operators Generated by a Scalar-Type Spectral Operator

Journal of the London Mathematical Society, 1965
openaire   +2 more sources

Well-Bounded and Scalar-Type Spectral Operators on Spaces Not Containing ?₀

Proceedings of the American Mathematical Society, 1989
Ian Doust
exaly  

On Scalar Extensions and Spectral Decompositions of Complex Symmetric Operators

Journal of Mathematical Analysis and Applications, 2011
Ji Eun Lee, Eungil Ko, Sungeun Jung
exaly