Hilbert Space Methods for Partial Differential Equations
by R. E. Showalter
Publisher: Pitman 1994
Number of pages: 208
The text for beginning graduate students of mathematics, engineering, and the physical sciences. The book covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, implicit evolution equations, second order evolution equations, optimization and approximation topics.
Home page url
Download or read it online for free here:
(multiple PDF files)
by Ola Bratteli, Derek W. Robinson - Springer
These two volumes present the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications.
by T.B. Ward - University of East Anglia
Lecture notes for a 3rd year undergraduate course in functional analysis. By the end of the course, you should have a good understanding of normed vector spaces, Hilbert and Banach spaces, fixed point theorems and examples of function spaces.
by Peter W. Michor - Springer
The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.
by G. Jungman - 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.