Introduction to Tensor Products of Banach Spaces

This book will be used in graduate courses for those who have studied functional analysis and are moving on to study tensor methods and Banach spaces. Also useful for those studying advanced functional analysis.

The first truly introductory book in this field - first graduate courses everywhere are looking for such a text Includes worked examples and many exercises The Radon-Nikodym Property is central to the book Presents many new, interesting and revealing results for the first time

Contenu
1 Tensor Products.- 2 The Projective Tensor Product.- 3 The Injective Tensor Product.- 4 The Approximation Property.- 5 The Radon-Nikodÿm Property.- 6 The Chevet-Saphar Tensor Products.- 7 Tensor Norms.- 8 Operator Ideals.- A Suggestions for Further Reading.- B Summability in Banach Spaces.- C Spaces of Measures.- References.