Real-linear isometries on spaces of functions of bounded variation

DOI10.1007/S00025-015-0489-4zbMath1470.46079OpenAlexW1748076789MaRDI QIDQ310881

Maliheh Hosseini

Publication date: 8 September 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-015-0489-4

zbMATH Keywords

real-linear isometryspace of functions of bounded variation

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (3)

2-topological reflexivity of sets of isometries between bounded variation function spaces ⋮ 2-local isometries between spaces of functions of bounded variation ⋮ Generalized 2-local isometries of spaces of continuously differentiable functions

Cites Work

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• Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras
• Noncompactness and noncompleteness in isometries of Lipschitz spaces
• Real-linear isometries between function algebras
• Real-linear isometries between subspaces of continuous functions
• Real Characterizations of Function Algebras Amongst Function Spaces
• Linear isometries between spaces of functions of bounded variation
• Multilinear isometries on function algebras
• Applications of the Theory of Boolean Rings to General Topology

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