**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 with Applications**

by

**Palle Jorgensen, Feng Tian**-

**arXiv**

This book at the beginning graduate level will help students with primary interests elsewhere to acquire a facility with tools of a functional analytic flavor, say in harmonic analysis, numerical analysis, stochastic processes, or in physics.

(

**6382**views)

**Operators on Hilbert Space**

by

**John Erdos**-

**King's College London**

These are notes for a King's College course to fourth year undergraduates and MSc students. They cover the theoretical development of operators on Hilbert space up to the spectral theorem for bounded selfadjoint operators.

(

**5689**views)

**Functional Analysis**

by

**Alexander C. R. Belton**-

**Lancaster University**

These lecture notes are an expanded version of a set written for a course given to final-year undergraduates at the University of Oxford. A thorough understanding of Banach and Hilbert spaces is a prerequisite for this material.

(

**7776**views)

**Von Neumann Algebras**

by

**Vaughan F. R. Jones**-

**UC Berkeley Mathematics**

The purpose of these notes is to provide a rapid introduction to von Neumann algebras which gets to the examples and active topics with a minimum of technical baggage. The philosophy is to lavish attention on a few key results and examples.

(

**8640**views)