**An Introduction to Hilbert Module Approach to Multivariable Operator Theory**

by Jaydeb Sarkar

**Publisher**: arXiv 2013**Number of pages**: 52

**Description**:

This article gives an introduction of Hilbert modules over function algebras and surveys some recent developments. Here the theory of Hilbert modules is presented as combination of commutative algebra, complex geometry and the geometry of Hilbert spaces and its applications to the theory of n-tuples of commuting operators.

Download or read it online for free here:

**Download link**

(480KB, PDF)

## Similar books

**Fredholm Operators and Spectral Flow**

by

**Nils Waterstraat**-

**arXiv**

Fredholm operators are one of the most important classes of linear operators in mathematics. The aim of these notes is an essentially self-contained introduction to the spectral flow for paths of (generally unbounded) selfadjoint Fredholm operators.

(

**7008**views)

**C*-algebraic Methods in Spectral Theory**

by

**Serge Richard**-

**Nagoya University**

From the table of contents: Linear operators on a Hilbert space; C*-algebras; Crossed product C*-algebras; Schroedinger operators and essential spectrum; Twisted crossed product C*-algebras; Pseudodifferential calculus; Magnetic systems.

(

**9520**views)

**Functional Analysis Lecture Notes**

by

**T.B. Ward**-

**University of East Anglia**

Lecture notes for a 3rd year undergraduate course in functional analysis. By the end of the course, you should have a good understanding of normed vector spaces, Hilbert and Banach spaces, fixed point theorems and examples of function spaces.

(

**11244**views)

**Banach Modules and Functors on Categories of Banach Spaces**

by

**J. Cigler, V. Losert, P.W. Michor**-

**Marcel Dekker Inc**

This book is the final outgrowth of a sequence of seminars about functors on categories of Banach spaces (held 1971 - 1975) and several doctoral dissertations. It has been written for readers with a general background in functional analysis.

(

**10734**views)