[Lecture Notes in Mathematics] Geometric Aspects of Functional Analysis Volume 1317 || On finite dimensional homogeneous Banach spaces

✍ Scribed by Lindenstrauss, Joram; Milman, Vitali D.

• Book ID: 125499186
• Publisher: Springer Berlin Heidelberg
• Year: 1988
• Tongue: German
• Weight: 249 KB
• Edition: 1988
• Category: Article
• ISBN: 3540193537
• DOI: 10.1007/BFb0081744

✦ Synopsis

This Is The Third Published Volume Of The Proceedings Of The Israel Seminar On Geometric Aspects Of Functional Analysis. The Large Majority Of The Papers In This Volume Are Original Research Papers. There Was Last Year A Strong Emphasis On Classical Finite-dimensional Convexity Theory And Its Connection With Banach Space Theory. In Recent Years, It Has Become Evident That The Notions And Results Of The Local Theory Of Banach Spaces Are Useful In Solving Classical Questions In Convexity Theory. The Present Volume Contributes To Clarifying This Point. In Addition This Volume Contains Basic Contributions To Ergodic Theory, Invariant Subspace Theory And Qualitative Differential Geometry. From The Contents: C.j. Read: The Invariant Subspace Problem On A Class Of Nonreflexive Banach Spaces, I -- Y. Yomdin: Approximational Complexity Of Functions -- J. Bourgain, J. Lindenstrauss And V. Milman: Minkowski Sums And Symmetrizations -- V. Milman: Isomorphic Symmetrizations And Geometric Inequalities -- M. Gromov: Dimension, Non Linear Spectra And Width -- J. Bourgain: An Approach To Pointwise Ergodic Theorems -- J. Bourgain: Vector-valued Hausdorff-young Inequalities And Applications -- J. Bourgain, J. Lindenstrauss: Projection Bodies. As Well As Contributions By K. Ball, Y. Gordon, W.b. Johnson, M. Meyer, A. Pajor And S. Reisner. J. Lindenstrauss, V.d. Milman (eds.). Third Published Volume Of The Proceedings Of The Israel Seminar On Geometric Aspects Of Functional Analysis ... Covers The 1986-87 Session Of The Seminar--foreword. Includes Bibliographies.