Contemporary Mathematics 2003; 378 pp; softcover Volume: 321 ISBN10: 0821832344 ISBN13: 9780821832349 List Price: US$103 Member Price: US$82.40 Order Code: CONM/321
 This volume contains proceedings of the conference on Trends in Banach Spaces and Operator Theory, which was devoted to recent advances in theories of Banach spaces and linear operators. Included in the volume are 25 papers, some of which are expository, while others present new results. The articles address the following topics: history of the famous James' theorem on reflexivity, projective tensor products, construction of noncommutative \(L_p\)spaces via interpolation, Banach spaces with abundance of nontrivial operators, Banach spaces with small spaces of operators, convex geometry of Coxeterinvariant polyhedra, uniqueness of unconditional bases in quasiBanach spaces, dynamics of cohyponormal operators, and Fourier algebras for locally compact groupoids. The book is suitable for graduate students and research mathematicians interested in Banach spaces and operator theory and their applications. Readership Graduate students and research mathematicians interested in Banach spaces and operator theory and their applications. Table of Contents  M. D. Acosta, J. B. Guerrero, and M. R. Galán  Characterizations of the reflexive spaces in the spirit of James' Theorem
 F. Albiac, N. J. Kalton, and C. Leránoz  Uniqueness of unconditional bases in quasiBanach spaces
 G. Androulakis  A note on the method of minimal vectors
 J. Diestel, J. Fourie, and J. Swart  The projective tensor product I
 S. J. Dilworth and V. G. Troitsky  Spectrum of a weakly hypercyclic operator meets the unit circle
 N. S. Feldman  The dynamics of cohyponormal operators
 E. A. GallardoGutiérrez and M. J. González  HilbertSchmidt composition operators on Dirichlet spaces
 N. J. Kalton  A remark on sectorial operators with an \(H^{\infty}\) calculus
 J. Kawabe  Borel injective tensor product and convolution of vector measures and their weak convergence
 V. A. Khatskevich and V. S. Shulman  On linear operator pencils and inclusions of images of balls
 D. H. Leung and W.K. Tang  Ordinal indices and \(\ell^1\)spreading models
 J. LópezGómez and C. MoraCorral  Characterizing the existence of local Smith forms for \(\mathcal{C}^\infty\) families of matrix operators
 N. McCarthy, D. Ogilvie, N. Zobin, and V. Zobin  Convex geometry of Coxeterinvariant polyhedra
 J. Miao  Commutators on bounded symmetric domains in \(\mathbb{C}^n\)
 T. L. Miller, V. G. Miller, and M. M. Neumann  Growth conditions and decomposable extensions
 J. Moorhouse and C. Toews  Differences of composition operators
 G. A. Muñoz  Complex vs real variables for real 3homogeneous polynomials on \(\ell_1^2\): A counterexample
 A. L. T. Paterson  The FourierStieltjes and Fourier algebras for locally compact groupoids
 G. T. Prǎjiturǎ  Preserving the commutant under functional calculus
 Y. Raynaud  \(L_p\)spaces associated with a von Neumann algebra without trace: a gentle introduction via complex interpolation
 H. P. Rosenthal  Banach and operator space structure of \(C^*\)algebras
 T. Schlumprecht  How many operators exist on a Banach space?
 G. V. Wood  Maximal algebra norms
 A. Zsák  On Banach spaces with small spaces of operators
 A. Zvavitch  A remark on \(p\)summing norms of operators
