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: Nonlinear Functional AnalysisNonlinear Functional Analysis
by - University of Vienna
This manuscript provides a brief introduction to nonlinear functional analysis. As an application we consider partial differential equations and prove existence and uniqueness for solutions of the stationary Navier-Stokes equation.
(9592 views)
Book cover: Notes on Operator AlgebrasNotes on Operator Algebras
by - Los Alamos National Laboratory
Lecture notes on operator algebras. From the table of contents: Structure Theory I; von Neumann Algebras; States and Representations; Structure Theory II; Matrices; Automorphism Groups; Extensions; K-Theory; Nuclear C* Algebras.
(6987 views)
Book cover: Hilbert Spaces and Operators on Hilbert SpacesHilbert Spaces and Operators on Hilbert Spaces
by - BookBoon
Functional analysis examples. From the table of contents: Hilbert spaces; Fourier series; Construction of Hilbert spaces; Orthogonal projections and complements; Weak convergence; Operators on Hilbert spaces, general; Closed operations.
(8201 views)
Book cover: Distribution Theory (Generalized Functions)Distribution Theory (Generalized Functions)
by
From the table of contents: Introduction; The spaces S and S'; The spaces D and D'; The Fourier transform; Convolution; Fourier-Laplace Transform; Structure Theorem for Distributions; Partial Differential Equations; and more.
(6582 views)