The polynomial Daugavet property for atomless \(L_{1}(\mu)\)-spaces

DOI10.1007/S00013-010-0105-5zbMath1201.46012OpenAlexW2049303594MaRDI QIDQ971860

Javier Merí, Miguel Martín, Mikhail M. Popov

Publication date: 17 May 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0105-5

zbMATH Keywords

Daugavet propertyBochner \(L_1\)-spacesspaces of polynomials

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) (Spaces of) multilinear mappings, polynomials (46G25) Isometric theory of Banach spaces (46B04)

Related Items (6)

Representable spaces have the polynomial Daugavet property ⋮ Daugavet property in projective symmetric tensor products of Banach spaces ⋮ An alternative polynomial Daugavet property ⋮ The Daugavet Equation: Linear and Nonlinear Recent Results ⋮ The Daugavet equation for polynomials on \(\mathrm{C}^\ast\)-algebras and \(\mathrm{JB}^\ast\)-triples ⋮ The polynomial Daugavetian index of a complex Banach space

Cites Work

• The Daugavet equation for polynomials
• POLYNOMIAL NUMERICAL INDEX FOR SOME COMPLEX VECTOR-VALUED FUNCTION SPACES
• Banach spaces with the Daugavet property
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