by Gerald Teschl
Publisher: University of Vienna 2009
Number of pages: 142
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).
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by John Erdos - King's College London
These are notes for a King's College course to fourth year undergraduates and MSc students. They cover the theoretical development of operators on Hilbert space up to the spectral theorem for bounded selfadjoint operators.
by Vladimir V. Kisil - University of Leeds
Contents: Fourier Series; Basics of Linear Spaces; Orthogonality; Fourier Analysis; Duality of Linear Spaces; Operators; Spectral Theory; Compactness; The spectral theorem for compact normal operators; Applications to integral equations; etc.
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 Nils Waterstraat - arXiv
Fredholm operators are one of the most important classes of linear operators in mathematics. The aim of these notes is an essentially self-contained introduction to the spectral flow for paths of (generally unbounded) selfadjoint Fredholm operators.