This book consists of contributions by the participants of the Fifth Conference on Function Spaces, held at Southern Illinois University in May of 2006. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $L^{p}$-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects. The goal of the conference was to bring together mathematicians interested in various problems related to function spaces and to facilitate the exchange of ideas between people working on similar problems. Hence, the majority of papers in this book are accessible to non-experts. Some articles contain expositions of known results and discuss open problems; others contain new results.

Readership

Graduate students and research mathematicians interested in functional analysis.

Reviews

"Surveying or presenting new results in various areas of analyis related to function spaces, the present volume appeals to a larger audience, first of all people working in the domain, but also researchers in related areas who want to be informed about results and methods in this field."

-- Stefan Cobzas, Studia Universitatis Babes-Bolyai, Mathematica