Basic Analysis Gently Done: Topological Vector Spaces
by Ivan F. Wilde
Publisher: King's College, London 2010
Number of pages: 129
These notes are based on lectures given at King's College London (as part of the 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; Separation; Vector Spaces; Topological Vector Spaces; Locally Convex Topological Vector Spaces; Banach Spaces; The Dual Space of a Normed Space; Frechet Spaces.
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by Serge Richard - Nagoya University
From the table of contents: Linear operators on a Hilbert space; C*-algebras; Crossed product C*-algebras; Schroedinger operators and essential spectrum; Twisted crossed product C*-algebras; Pseudodifferential calculus; Magnetic systems.
by F.F. Bonsall - 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.
by J. Cigler, V. Losert, P.W. Michor - 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.
by 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).