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Diameter preserving linear maps and isometries. II

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Publication:1570006
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DOI10.1007/BF02829491zbMath0956.46012MaRDI QIDQ1570006

Félix Cabello Sánchez

Publication date: 2 March 2001

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

simplexesdiameter preserving mapsspaces of affine functions


Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15) Convex sets in topological linear spaces; Choquet theory (46A55)


Related Items

Hölder seminorm preserving linear bijections and isometries, Diameter preserving maps on function spaces, Linear mappings preserving the diameter of the numerical range



Cites Work

  • A simplex with dense extreme points
  • Linear preserver problems: A brief introduction and some special techniques
  • Diameter preserving linear bijections of \(C(X)\)
  • Diameter preserving linear maps and isometries
  • Diameter-preserving linear bijections of function spaces
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