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Contractive projections in $C_p$

About this Title

Jonathan Arazy and Yaakov Friedman

Publication: Memoirs of the American Mathematical Society
Publication Year 1992: Volume 95, Number 459
ISBNs: 978-0-8218-2515-0 (print); 978-1-4704-0885-5 (online)
MathSciNet review: 1086564
MSC: Primary 47B49; Secondary 46L50, 47B10

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Table of Contents


  • 0. Introduction
  • 1. Properties of contractive projections on $C_p$ which depend on smoothness, strict convexity and reflexivity
  • 2. $JC*$-triples and the formulation of the main result
  • 3. Differentiation formulas and Schur multipliers
  • 4. Connection between a contractive projection and Peirce projections associated with elements in its range
  • 5. Existence of atoms
  • 6. Basic relations between atoms
  • 7. Structure of $N$-convex subspaces of $C_p$
  • 8. Conclusion of the proof of the main theorem and applications
  • 9. Families of contractive projections and concluding remarks
American Mathematical Society