Linear bijections which preserve the diameter of vector-valued maps

DOI10.1016/J.LAA.2007.02.004zbMath1119.46010OpenAlexW1990662460MaRDI QIDQ886138

M. Tamayo, Antonio Aizpuru

Publication date: 26 June 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.02.004

zbMATH Keywords

extreme pointdiameter preserving maprotund spaces

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15) Local compactness, (sigma)-compactness (54D45)

Related Items (4)

Diameter preserving maps on function 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

• There's something about the diameter
• Diameter preserving linear bijections of \(C(X)\)
• Diameter preserving linear maps and isometries
• Diameter-preserving linear bijections of function spaces
• ON DIAMETER PRESERVING LINEAR MAPS
• Unnamed Item

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