Non-spectrality of generators of some classical analytic semigroups

DOI10.1016/0019-3577(90)90036-MzbMath0738.47036OpenAlexW2010487890MaRDI QIDQ1813747

Werner J. Ricker

Publication date: 25 June 1992

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(90)90036-m

zbMATH Keywords

Poisson semigroupscalar operatorsFourier p-multiplier operatorsinfinitesimal generator of the heat semigroup

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) One-parameter semigroups and linear evolution equations (47D06) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Cites Work

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• Estimates for translation invariant operators in \(L^p\) spaces
• Spectral properties of the Laplace operator in \(L^ p(R)\)
• Scalar-type spectral operators and holomorphic semigroups
• The multiplier problem for the ball
• L p Multipliers; A New Proof of an Old Theorem
• On Fractional Integrals of Pure Imaginary Order in L p

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