**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

**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.

(

**6250**views)

**Lectures on Cyclic Homology**

by

**D. Husemoller**-

**Tata Institute of Fundamental Research**

Contents: Exact Couples and the Connes Exact Couple; Abelianization and Hochschild Homology; Cyclic Homology and the Connes Exact Couple; Cyclic Homology and Lie Algebra Homology; Mixed Complexes, the Connes Operator B; and more.

(

**5900**views)

**Hilbert Space Methods for Partial Differential Equations**

by

**R. E. Showalter**-

**Pitman**

Written for beginning graduate students of mathematics, engineering, and the physical sciences. It covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, etc.

(

**12062**views)

**Global Analysis: Functional Analysis Examples**

by

**Leif Mejlbro**-

**BookBoon**

From the table of contents: Metric spaces; Topology; Continuous mappings; Sequences; Semi-continuity; Connected sets, differentiation; Normed vector spaces and integral operators; Differentiable mappings; Complete metric spaces; and more.

(

**9071**views)