Contractive projections in Cp / Jonathan Arazy, Yaakov Friedman.

Format:

Book

Author/Creator:

Arazy, Jonathan, 1942- author.

Friedman, Yaakov, 1948- author.

Series:

Memoirs of the American Mathematical Society ; Number 459.

Memoirs of the American Mathematical Society, 0065-9266 ; Number 459

Language:

English

Subjects (All):

Linear operators.

Hilbert space.

Physical Description:

1 online resource (121 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1992.

Language Note:

English

Summary:

This work is devoted to the study of contractive projection (that is, norm-one idempotent operators) on Cp where Cp denotes the von Meumann-Schatten p-classes. The authors show that the range of a contractive projection on Cp(1 ?, p =2) is the direct sum of Cp-ideals of classical Cartan factors.

Contents:

""Contents""; ""0. Introduction""; ""1. Properties of contractive projections on C[sub(p)] which depend on smoothness, strict convexity and refiexivity""; ""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[(sub)]p""; ""8. Conclusion of the proof of the Main Theorem and applications""

""9. Families of contractive projections and concluding remarks""""References""

Notes:

"January 1992, volume 95, number 459 (first of 4 numbers)."

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0885-6