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
Jordan Operator Algebrasby Harald Hanche-Olsen, Erling Størmer - Pitman
Introduction to Jordan algebras of operators on Hilbert spaces and their abstract counterparts. It develops the theory of Jordan operator algebras to a point from which the theory of C*- and von Neumann algebras can be generalized to Jordan algebras.
(16092 views)
Special Course in Functional Analysis: (Non-)Commutative Topologyby Ville Turunen - Aalto TKK
In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics.
(13469 views)
Topics in Real and Functional Analysisby Gerald Teschl - Universitaet Wien
This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. It covers basic Hilbert and Banach space theory as well as basic measure theory including Lebesgue spaces and the Fourier transform.
(17693 views)
Functional Analysisby 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).
(16376 views)