Results 111 to 120 of about 99,725 (136)

A spectral mapping theorem for scalar-type spectral operators in locally convex spaces

Integral Equations and Operator Theory, 1985
Let T be a continuous scalar-type spectral operator defined on a quasicomplete locally convex space X, that is, \(T=\int fdP\) where P is an equicontinuous spectral measure in X and f is a P-integrable function. It is shown that \(\sigma\) (T) is precisely the closed P-essential range of the function f or, equivalently, that \(\sigma\) (T) is equal to ...
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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
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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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Restrictions of Scalar-Type Spectral Operators

Bulletin of the London Mathematical Society, 1978
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NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR

Ural Mathematical Journal, 2020
Tursun K Yuldashev
exaly  

Boundary Value Problem for Weak Nonlinear Partial Differential Equations of Mixed Type with Fractional Hilfer Operator

Axioms, 2020
Tursun K Yuldashev, Bakhtiyor Kadirkulov
exaly  

A Hardy-type inequality and some spectral characterizations for the Dirac–Coulomb operator

Revista Matematica Complutense, 2019
Biagio Cassano, Fabio Pizzichillo, Luis Vega   +2 more
exaly  

Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

Annual Review of Fluid Mechanics, 2013
Igor Mezic
exaly