Diameter-preserving linear bijections of function spaces

DOI10.1017/S1446788700002378zbMath1027.46009OpenAlexW1998166784MaRDI QIDQ2747264

Ashoke K. Roy, T. S. S. R. K. Rao

Publication date: 5 January 2004

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700002378

zbMATH Keywords

function spacediameter preserving bijection

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear operators on function spaces (general) (47B38) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (12)

Hölder seminorm preserving linear bijections and isometries ⋮ Nonlinear diameter preserving maps between certain function spaces ⋮ There's something about the diameter ⋮ Linear bijections which preserve the diameter of vector-valued maps ⋮ Diameter preserving maps on function spaces ⋮ Chebyshev centres and centrable sets ⋮ Algebraic reflexivity of diameter-preserving linear bijections between \(C(X)\)-spaces ⋮ A characterization of nonlinear Hölder seminorm preserving bijections ⋮ Extreme points and the diameter norm ⋮ On 2-local diameter-preserving maps between \(C(X)\)-spaces ⋮ Nonlinear diameter preserving maps on function spaces ⋮ Diameter preserving linear maps and isometries. II

Cites Work

• Isometries and the complex state spaces of uniform algebras
• Diameter preserving linear bijections of \(C(X)\)
• Denting and strongly extreme points in the unit ball of spaces of operators
• Geometry of operator spaces
• Diameter preserving linear maps and isometries
• Isometries of A C (K)
• Affine Products of Simplexes.
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