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

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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.

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,5. Schur multipliers and Grothendieck’s inequality,hat, since the Grothendieck constant is > 1, Ando’s inequality does not extend with constant 1 to .-tuples of mutually commuting contractions. Finally, we discuss the extensions to Schur multipliers acting boundedly on the space .(., .) when ., . are replaced by .-spaces, ..

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Gilles Pisiers of class proportions in unlabeled data by means of supervised learning. In data science, learning to quantify is a task of its own related to classification yet different from it, since estimating class proportions by simply classifying all data and counting the labels assigned by the classifier i