Introduction to Functional Analysis
by Vladimir V. Kisil
Publisher: University of Leeds 2010
Number of pages: 111
Contents: Motivating Example - 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; Banach and Normed Spaces; Measure Theory; Integration; Functional Spaces; Fourier Transform.
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by Palle Jorgensen, Feng Tian - arXiv
This book at the beginning graduate level will help students with primary interests elsewhere to acquire a facility with tools of a functional analytic flavor, say in harmonic analysis, numerical analysis, stochastic processes, or in physics.
by N.P. Landsman - arXiv
A graduate-level introduction to C*-algebras, Hilbert C*-modules, vector bundles, and induced representations of groups and C*-algebras, with applications to quantization theory, phase space localization, and configuration space localization.
by John Erdos - King's College, London
These notes form an introductory account of C*-algebras. Some results on more general commutative Banach algebras, whose proofs require little extra effort, are included. There are accounts of two applications of the commutative theory ...
by Leif Mejlbro - BookBoon
From the table of contents: Metric spaces; Topology; Continuous mappings; Sequences; Semi-continuity; Connected sets, differentiation; Normed vector spaces and integral operators; Differentiable mappings; Complete metric spaces; and more.