Titlebook: Similarity Problems and Completely Bounded Maps; Gilles Pisier Book 2001Latest edition Springer-Verlag Berlin Heidelberg 2001 Algebra.Comp

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蛙鳴聲

積云

Subject and Notation Index,Abstract not available.

開始發(fā)作

Gilles PisierTwo chapters have been added on the HALMOS and KADISON similarity problems.Includes supplementary material:

Flinch

Lecture Notes in Mathematicshttp://image.papertrans.cn/s/image/867394.jpg

Tincture

https://doi.org/10.1007/b55674Algebra; Completely bounded representation; H (p) spaces; Harmonic analysis; Hilbert space; Polynomially

clarify

推延

8. Completely bounded maps in the Banach space setting,etting, we extend the fundamental factorization of c.b. maps. We show that the extension property still holds under suitable assumptions. Finally, we apply these results to the similarity problem for homomorphisms in this broader framework.

輕快來事

9. The Sz.-Nagy-Halmos similarity problem,tor on Hilbert space which is not similar to a contraction. We also include two related finite dimensional estimates related to . x .-matrices. For one of them, the estimate for polynomially bounded . x .-matrices, the sharp order of growth, when . tends to infinity, is not yet known.

defuse

10. The Kadison Similarity Problem, different questions which appeared in other contexts: Arveson’s hyperreflexivity problem and Dixmier’s invariant opemtor range problem. Finally, we describe the author’s recent work on the notion of “l(fā)ength” of an opemtor algebm, which also leads to one more reformulation of Kadison’s question.