Titlebook: Similarity Problems and Completely Bounded Maps; Gilles Pisier Book 19961st edition Springer-Verlag Berlin Heidelberg 1996 42B30.43A65.46E

争吵

Obituary

,Schur multipliers and Grothendieck’s inequality,.,., .,.,. > 1, . 1 .,.(., .) ., ....., 1≤. < ∞.

Lament

,Von Neumann’s inequality and Ando’s generalization,discuss the case of n > 2 mutually commuting contractions. We introduce the notion of semi-invariance. Finally, we show that Hilbert spaces are the only Banach spaces satisfying von Neumann’s inequality.

异教徒

Completely bounded maps in the Banach space setting,n this setting, 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.

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,Von Neumann’s inequality and Ando’s generalization,discuss the case of n > 2 mutually commuting contractions. We introduce the notion of semi-invariance. Finally, we show that Hilbert spaces are the only Banach spaces satisfying von Neumann’s inequality.

Throttle

Completely bounded homomorphisms and derivations,ch spaces but mostly concentrate on the Hilbert space case. In the latter case, we prove the fundamental result that a unital homomorphism is completely bounded if it is similar to a completely contractive one. Let δ: A → B(H) be a derivation on a C*-algebra. We show that δ is completely bounded if

N斯巴达人

Hankelian Schur multipliers. Herz-Schur multipliers,lass of all Hankel matrices. We show that the Schur multipliers which are completely bounded maps from E to E are closely related to the Fourier multipliers on the Hardy space H.. Analogously, when H = ℓ.(G) and E is the reduced C. -algebra C..(G), then the Schur multipliers which are completely bou

埋葬

Completely bounded maps in the Banach space setting,n this setting, 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.

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