Power-bounded Invertible Operators and Invertible Isometries on L p Spaces

DOI10.1007/978-3-319-18494-4_15zbMath1341.47037OpenAlexW2396141696MaRDI QIDQ2801691

T. Alastair Gillespie

Publication date: 21 April 2016

Published in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18494-4_15

zbMATH Keywords

similaritypower-bounded operator\(L^p\) spacesinvertible isometry

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) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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Doubly power-bounded operators on \(L^{p}\), \(2\neq p > 1\) ⋮ Resolvent conditions and growth of powers of operators

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