Algebraic and topological reflexivity properties of \(l^p(X)\)spaces

DOI10.1016/j.jmaa.2008.05.014zbMath1154.46002OpenAlexW1989768364MaRDI QIDQ933475

Maria Fernanda Botelho, James E. Jamison

Publication date: 21 July 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.014

zbMATH Keywords

isometriesalgebraic reflexivity of the isometry group of a Banach spacelocally surjective isometriestopological reflexivity of the isometry group of a Banach space

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Isometric theory of Banach spaces (46B04)

Related Items (2)

Kakutani's automorphism theorem for vector-valued bounded holomorphic functions ⋮ Algebraic reflexivity of sets of bounded operators on vector valued Lipschitz functions

Cites Work

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• The centralizer of Bochner \(L^\infty\)-spaces
• The isometries of \(L^p(\Omega,)\)
• Isometries of direct sums of sequence spaces
• Hermitian operators and isometries on sums of Banach spaces
• Reflexivity of the group of surjective isometries on some Banach spaces

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