Israel Mathematical Conference Proceedings 1992; 294 pp; softcover Volume: 5 List Price: US$40 Member Price: US$32 Order Code: IMCP/5
 This book contains the proceedings of the International Workshop on Interpolation Spaces and Related Topics, held at Technion in Haifa, Israel, in the summer of 1990. Interpolation spaces have their roots in the classical interpolation theorems of Marcikiewicz and RieszThorin. In the last three decades, the study of these spaces has developed into an extensive theory with applications in several fields, including harmonic analysis, partial differential equations, and geometry of Banach spaces. Substantial contributions have come from both sides of the former "Iron Curtain", and the Haifa Workshop was the first time that sizable contingents of experts from East and West could meet and interact. The twentyone research papers in this volume reflect recent developments at the frontier of research in several directions in interpolation theory. In addition, the volume provides a concise and convenient summary of interesting but hitherto less wellknown work in interpolation from the Russian schools of Yaroslavl and Kazan. One highlight is an extensive list of unsolved problems in interpolation theory, including contributions from a number of experts who were unable to attend the workshop. A publication of the BarIlan University. Distributed worldwide by the AMS. Readership Experts in interpolation theory and in various branches of analysis where interpolation is applied. Table of Contents  A. Bernal  Some results on complex interpolation of \(T_q^p\) spaces
 Y. A. Brudnyi  Some recent general results in interpolation theory
 M. J. Carro and J. Cerdà  On the interpolation of analytic families of operators
 F. Cobos and I. Resina  An interpolation formula for approximation spaces
 W. C. Connett and A. L. Schwartz  Interpolation of Banach algebras
 M. Cwikel and A. Sharif  Complex interpolation spaces generated by the Gagliardo completion of an arbitrary Banach couple
 E. Hernández and J. Soria  Interpolation theorems of some weighted quasiBanach spaces
 B. Jawerth and M. Milman  New results and applications of extrapolation theory
 B. Jawerth and M. Milman  Wavelets and best approximation in Besov spaces
 N. J. Kalton  On a question of Pisier
 N. J. Kalton  Remarks on lattice structure in \(\ell _p\) and \(L_p\) when \(0< p< 1\)
 R. A. Kerman  Convergence of approximate identities in weighted Lebesgue spaces
 M. Mastyło  Interpolation functors commuting with direct products
 M. Milman  Local operators vs LorentzMarcinkiewicz spaces
 I. Ya. Novikov  Inner estimates
 B. P. Osilenker  The generalized \(\Lambda\)translation in a multiple orthogonal polynomial system
 V. I. Ovchinnikov  On the description of interpolation orbits in couples of \(L_p\) spaces when they are not described by the \(K\)method
 Y. Raynaud  On LorentzSharpley spaces
 R. Rochberg  A correspondence principle for Toeplitz and CalderonToeplitz operators
 P. A. Shvartsman  \(K\)functionals of weighted Lipschitz spaces and Lipschitz selections of multivalued mappings
 L. V. Veselova and N. M. Zobin  On a tensor approach to interpolation theory
