The group of isometries of a Banach space and duality

DOI10.1016/j.jfa.2008.06.004zbMath1166.46003arXiv0809.3644OpenAlexW2034204779MaRDI QIDQ960555

Miguel Martín

Publication date: 22 December 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3644

zbMATH Keywords

numerical rangedualityisometriesdissipative operatorsnumerical indexL-summandHermitian operatorsDaugavet equationC-rich subspace

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04)

Related Items (6)

Estimations of the numerical index of a JB*-triple ⋮ Isometries on extremely non-complex Banach spaces ⋮ Banach space characterizations of unitaries: a survey ⋮ On a second numerical index for Banach spaces ⋮ Lushness, numerical index one and duality ⋮ Projections in the convex hull of isometries on absolutely continuous function spaces

Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• Banach spaces with a shrinking hyperorthogonal basis
• Dissipative operators in a Banach space
• Functional Hilbertian sums
• Geometric aspects of the Daugavet property
• The Daugavet property of \(C^{\ast}\)-algebras, \(JB^{\ast}\)-triples, and of their isometric preduals
• On the field of values subordinate to a norm
• Numerical index of vector-valued function spaces
• Semi-Inner-Product Spaces
• Numerical index of Banach spaces and duality
• Quotients of Banach Spaces with the Daugavet Property
• The Daugavet property for spaces of Lipschitz functions
• The Normed Space Numerical Index of C ∗ -Algebras
• Espaces de Banach ayant la propriété de Daugavet
• Banach spaces with the Daugavet property
• The Numerical Index of a Normed Space
• Finite-dimensional Banach spaces with numerical index zero
• Geometrical properties of the product of a \(C^*\)-algebra
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