Rademacher bounded families of operators on 𝐿₁

DOI10.1090/S0002-9939-07-09046-6zbMath1138.47027MaRDI QIDQ5429448

Tamara Kucherenko, Nigel J. Kalton

Publication date: 30 November 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

resolventsectorial operatorfunctional calculusoperator semigrouprepresentation of regular operatorsR-bounded operators

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) Functional calculus for linear operators (47A60) Linear operators on function spaces (general) (47B38)

Related Items (2)

Obituary: Nigel John Kalton, 1946-2010 ⋮ Euclidean Structures and Operator Theory in Banach Spaces

Cites Work

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• R-bounded approximating sequences and applications to semigroups
• Représentations d'opérateurs à valeurs dans \(L^1(X,\Sigma,\mu)\)
• On the Representation of Order Continuous Operators by Random Measures
• Linear Operators on L p for 0 < p < 1
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
• The \(H^\infty\)-calculus and sums of closed operators

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