This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text ca

Over the past six decades, several extremely important fields in mathematics have been developed. Among these are Itô calculus, Gaussian measures on Banach spa

Infinite dimensional holomorphy is the study of holomorphic or analytic func tions over complex topological vector spaces. The terms in this description are eas

This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry an

The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research worker