Author | Milman, Vitali D. author |
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Title | Asymptotic Theory of Finite Dimensional Normed Spaces [electronic resource] / by Vitali D. Milman, Gideon Schechtman |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1986 |
Connect to | http://dx.doi.org/10.1007/978-3-540-38822-7 |
Descript | XII, 160 p. online resource |
The Concentration of Measure Phenomenon in the Theory of Normed Spaces -- Preliminaries -- The Isoperimetric Inequality on Sn?1 and Some Consequences -- Finite Dimensional Normed Spaces, Preliminaries -- Almost Euclidean Subspaces of A Normed Space -- Almost Euclidean Subspaces of ?{p}n Spaces, of General n-Dimensional Normed Spaces, and of Quotient of n-Dimensional Spaces -- Levy Families -- Martingales -- Embedding ?pm into ?1n -- Type and Cotype of Normed Spaces, and Some Simple Relations with Geometrical Properties -- Additional Applications of Levy Families in the Theory of Finite Dimensional Normed Spaces -- Type and Cotype of Normed Spaces -- Ramseyโs Theorem with Some Applications to Normed Spaces -- Krivineโs Theorem -- The Maurey-Pisier Theorem -- The Rademacher Projection -- Projections on Random Euclidean Subspaces of Finite Dimensional Normed Spaces