Daugavet's Equation and Operators on L 1 (μ)

DOI10.2307/2045961zbMath0633.47016OpenAlexW2987603558MaRDI QIDQ3771089

James R. Holub

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2307/2045961

zbMATH Keywords

weakly compact operatorDaugavet's equationoperators on \(L^ 1\)

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators on function spaces (general) (47B38)

Related Items (10)

The distance between a weighted shift operator and integral operators ⋮ An alternative Daugavet property ⋮ An alternative polynomial Daugavet property ⋮ The Daugavet equation in uniformly convex Banach spaces ⋮ The largest linear space of operators satisfying the Daugavet equation in $ L_{1}$ ⋮ The Daugavet equation for polynomials on \(C^\ast\)-algebras ⋮ Nonlinear version of Holub's theorem and its application ⋮ A Generalization of a Theorem of J. Holub ⋮ Banach spaces with the Daugavet property ⋮ Geometric aspects of the Daugavet property

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