Contractive Projections In $C_P$
American Mathematical Society (Publisher)
Published on 30. July 1992
Book
Paperback/Softback
978-0-8218-2515-0 (ISBN)
Description
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<<Pi1>?, p<Pi3>=2) is the direct sum of Cp-ideals of classical Cartan factors.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 255 mm
Width: 180 mm
ISBN-13
978-0-8218-2515-0 (9780821825150)
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Schweitzer Classification
Content
Properties of contractive projections on Cp which depend on smoothness, strict convexity and reflexivity, JC*-triples and the formulation of the main result; Differentiation formulas and Schur multipliers; Connection between a contractive projection and Peirce projections associated with elements in its range; Existence of atoms; Basic relations between atoms; Structure of N-convex subspaces of Cp; Conclusion of the proof of the Main Theorem and applications, Families of contractive projections and concluding remarks.
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<<Pi1>?, p<Pi3>=2) is the direct sum of Cp-ideals of classical Cartan factors.
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<<Pi1>?, p<Pi3>=2) is the direct sum of Cp-ideals of classical Cartan factors.