Linear Functional Analysis
by W W L Chen
Publisher: Macquarie University 2008
Number of pages: 129
Description:
An introduction to some of the basic ideas in linear functional analysis: introduction to metric spaces; connectedness, completeness and compactness; normed vector spaces; inner product spaces; orthogonal expansions; linear functionals; introduction to linear transformations; linear transformations on Hilbert spaces; spectrum of a linear operator.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Functional Analysis Lecture Notesby 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.
(11371 views)
Basic Analysis Gently Done: Topological Vector Spacesby Ivan F. Wilde - King's College, London
These notes are based on lectures given as part of a mathematics MSc program. The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; etc.
(10839 views)
Integral Operatorsby Leif Mejlbro - BookBoon
Examples of Hilbert-Smith operators and other types of integral operators, Hilbert Schmidt norm, Volterra integral operator, Cauchy-Schwarz inequality, Hoelder inequality, iterated kernels, Hermitian kernel, and much more.
(12393 views)
Operator Algebras and Quantum Statistical Mechanicsby 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.
(18306 views)