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# memo_has_moved_text(); Contractive projections in $C_p$

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)
DOI: http://dx.doi.org/10.1090/memo/0459
MathSciNet review: 1086564
MSC (1991): Primary 47B49; Secondary 46L50, 47B10

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Chapters

• 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