There's something about the diameter

DOI10.1016/J.JMAA.2006.08.002zbMath1123.46022OpenAlexW1971869949MaRDI QIDQ879039

F. Rambla, Antonio Aizpuru

Publication date: 4 May 2007

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.2006.08.002

zbMATH Keywords

diameterisometries

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (7)

Nonlinear diameter preserving maps between certain function spaces ⋮ Linear bijections which preserve the diameter of vector-valued maps ⋮ Diameter preserving maps on function spaces ⋮ Algebraic reflexivity of diameter-preserving linear bijections between \(C(X)\)-spaces ⋮ A characterization of nonlinear Hölder seminorm preserving bijections ⋮ On 2-local diameter-preserving maps between \(C(X)\)-spaces ⋮ Nonlinear diameter preserving maps on function spaces

Cites Work

• Isometries between injective tensor products of Banach spaces
• Diameter preserving linear bijections of \(C(X)\)
• A characterization of locally compact spaces with homeomorphic one-point compactifications
• Diameter preserving linear maps and isometries
• Diameter-preserving linear bijections of function spaces
• Diameter-preserving maps on various classes of function spaces
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