Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar 2002- Vitali D. Milman,Gideon Schechtman Book 2004 Springer-Verlag Berlin Heidelbe

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https://doi.org/10.1007/978-3-322-84031-8Abstract not available

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Verena Fingerling,Jasmin GodemannAn asymptotic lower bound for the distance between . and .-dimensional subspaces of . is obtained for ., . and .. In the case . = 2, ., this bound is exact up to a factor asymptotically lying between 1 and 2.

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https://doi.org/10.1007/978-3-322-96997-2We show that different .-ellipsoids associated with a convex body, that are introduced in Asymptotic Convexity, are “essentially” unique, in the sense that they admit equivalent large dimensional sections.

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,A Topological Obstruction to Existence of Quaternionic Plücker Map,It is shown that there is no continuous map from the quaternionic Grassmannian . to the quaternionic projective space . such that the pullback of the first Pontryagin class of the tautological bundle over . is equal to the first Pontryagin class of the tautological bundle over .. In fact some more precise statement is proved.