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This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book gives a broad overview of current subjects and presents open problems. Each article includes an extensive bibliography. This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory.
Gilles Godefroy, Institute de Mathematiques de Jussieu, Paris, France.Mohammad Sal Moslehian, Ferdowsi University of Mashhad, Iran.Juan Benigno Seoane-Sepulveda, Universidad Complutense de Madrid, Spain.
ArticlesGilles Godefroy, Mohammad Sal Moslehian and Juan Benigno Seoane-Sepulveda, A Few Lines on Per Enflo's WorksFernando Albiac and Jose L. Ansorena, On the Quasi-greedy Basic Sequence ProblemAlexander Brudnyi, On Properties of Geometric Preduals of Classical Smoothness SpacesYun Sung Choi, Sun Kwang Kim and Han Ju Lee, On Norm-attaining Mappings on Banach SpacesBen de Pagter and Werner J. Ricker, Translation Invariant Banach Function Spaces and Fourier Multiplier OperatorsStephen J. Dilworth, Denka Kutzarova and Mikhail I. Ostrovskii, Cycle Spaces: Invariant Projections and Applications to Transportation CostFrancisco Javier Garcia-Pacheco, The Finest Locally Convex Module TopologyJinghao Huang and Fedor Sukochev, Derivations with Values into Bimodules of $\tau $-measurable OperatorsTuomas Hytonen, Singular Integrals in Uniformly Convex SpacesVicente Montesinos and Vaclav Zizler, Some Easily Formulated Open Problems in Banach Space TheoryGustavo A. Munoz-Fernandez, Sara Ruiz and Juan B. Seoane-Sepulveda, Geometry of Trinomials RevisitedAntonio M. Peralta, Metric Invariants in Banach and Jordan-Banach Algebras