Geometric Aspects of Functional Analysis

Inhaltsverzeichnis

• 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 santaló'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.