ABSTRACT

The seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to blossom, the time has come to collect those results un

chapter 1|9 pages

Introduction

chapter 3|25 pages

Rigidity for analytic Hilbert modules

chapter 4|20 pages

Equivalence of Hardy submodules

chapter 6|32 pages

The Arveson module

chapter 7|29 pages

Extensions of Hilbert modules