Logo

An Introduction to Hilbert Module Approach to Multivariable Operator Theory

Small book cover: An Introduction to Hilbert Module Approach to Multivariable Operator Theory

An Introduction to Hilbert Module Approach to Multivariable Operator Theory
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(480KB, PDF)

Similar books

Book cover: Functional AnalysisFunctional Analysis
by - 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).
(9557 views)
Book cover: Banach Modules and Functors on Categories of Banach SpacesBanach Modules and Functors on Categories of Banach Spaces
by - 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.
(5692 views)
Book cover: Global Analysis: Functional Analysis ExamplesGlobal Analysis: Functional Analysis Examples
by - 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.
(8090 views)
Book cover: Lectures On Some Fixed Point Theorems Of Functional AnalysisLectures On Some Fixed Point Theorems Of Functional Analysis
by - Tata Institute Of Fundamental Research
The book is concerned with the application of a variety of methods to both non-linear (fixed point) problems and linear (eigenvalue) problems in infinite dimensional spaces. Author was interested in the construction of eigenvectors and eigenvalues.
(6031 views)