Geometric Aspects of Functional Analysis

Hilbert's 13th problem and dimension.- On the duality problem for entropy numbers of operators.- Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space.- An ¿isomorphic¿ version of the sauer-shelah lemma and the banach-mazur distance to the cube.- On complemented subspaces of H 1 and VMO.- An approximation theorem for vector valued functions.- Geometry of finite dimensional subspaces and quotients of L p.- Estimates of bernstein widths of sobolev spaces.- Probabilistic proofs of existence of rare events.- On the behavior of the constant in the littlewood-paley inequality.- On kolmogorov's rearrangement problem for orthogonal systems and garsia's conjecture.- Volumes of sections of cubes and related problems.- On santal¿'s inequality.- Estimates related to steiner symmetrizations.- A remark concerning the dependence on ? in dvoretzky's theorem.- Almost euclidean sections in spaces with a symmetric basis.