**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

**Functional Analysis**

by

**Gerald Teschl**-

**University of Vienna**

This free manuscript provides a brief introduction to Functional Analysis. The text covers basic Hilbert and Banach space theory including Lebesgue spaces and their duals (no knowledge about Lebesgue integration is assumed).

(

**10421**views)

**Banach Spaces of Analytic Functions**

by

**enneth Hoffman**-

**Prentice-Hall**

A classic of pure mathematics, this advanced text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc.

(

**4798**views)

**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.

(

**3306**views)

**Operator Algebras and Quantum Statistical Mechanics**

by

**Ola Bratteli, Derek W. Robinson**-

**Springer**

These two volumes present the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications.

(

**14150**views)