Recent Progress in Functional Analysis

K.D. Bierstedt, J. Bonet, Anna Maestre, J. Schmets, M. Maestre

• Publisher: North Holland
• Year: 2001
• eBook ISBN: 9780080515922
• Topic: Mathematics
• Subtopic: Functional Analysis
• Index: Mathematics

This Proceedings Volume contains 32 articles on various interesting areas ofpresent-day functional analysis and its applications: Banach spaces andtheir geometry, operator ideals, Banach and operator algebras, operator andspectral theory, Frechet spaces and algebras, function and sequence spaces.The authors have taken much care with their articles and many papers presentimportant results and methods in active fields of research. Several surveytype articles (at the beginning and the end of the book) will be very usefulfor mathematicians who want to learn "what is going on" in some particularfield of research.

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright page
• Preface
• International Functional Analysis Meeting on the Occasion of the 70th Birthday of Professor M. Valdivia Valencia, Spain, 3 - 7 July 2000
• International Functional Analysis Meeting on the Occasion of the 70th Birthday of Professor M. Valdivia Valencia, Spain, 3 - 7 July 2000
• List of the Special Sessions with the Session Organizers
• Schedule of the Special Session Geometry and Structure of Banach Spaces
• Schedule of the Poster Sessions
• International Functional Analysis Meeting on the Occasion of the 70th Birthday of Professor M. Valdivia Valencia, Spain, 3 - 7 July 2000
• List of Contributors
• The Mathematical Works of Manuel VALDIVIA, II
• Fréchet differentiability of Lipschitz functions (a survey)
• Summing inclusion maps between symmetric sequence spaces, a survey
• Applications of Banach space theory to sectorial operators
• Derivations from Banach algebras
• Homomorphisms of Uniform Algebras
• Generic Dynamics and Monotone Complete C*-Algebras
• Linear topological properties of the space of analytic functions on the real line
• Contribution to the isomorphic classification of Sobolev spaces Lp(k)(Ω) (1 ≤ p < ∞)
• Decomposability and the cyclic behavior of parabolic composition operators
• Algebras of subnormal operators on the unit polydisc
• An example concerning the local radial Phragmén-Lindelöf condition
• Continuity of monotone functions with values in Banach lattices
• Remarks on Gowers’ dichotomy
• Norm attaining operators and James’ Theorem
• The extension theorem for norms on symmetric tensor products of normed spaces
• Remarks on p-summing multipliers.
• Bergman projection on simply connected domains
• On isomorphically equivalent extensions of quasi-Banach spaces
• Integrated Trigonometric Sine Functions
• Applications of a result of Aron, Hervés, and Valdivia to the homology of Banach algebras
• On the ideal structure of some algebras with an Arens product
• Stochastic continuity algebras
• Hilbert space methods in the theory of Lie triple systems
• Truncated Hamburger moment problems with constraints
• Fourier-Bessel transformation of measures and singular differential equations
• A trace theorem for normal boundary conditions
• Operators into Hardy spaces and analytic Pettis integrable functions
• The norm problem for elementary operators
• Problems on Boolean algebras of projections in locally convex spaces
• Non associative C*-algebras revisited
• Grothendieck’s inequalities revisited