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Corso di Analisi Funzionale

Author: Luciano Pandolfi
Url: http://calvino.polito.it/~lucipan/materiale_html/analisifunzionale.pdf
Format: Pdf
Year: 2009
Category: Functional Analysis
Pages: 322
Clicks: 1422

This text introduces the basic elements of Linear Functional Analysis: Banach spaces and linear operators; spectrum and resolvent; Baire Theorem and its consequences; Hahn-Banach Theorem; dual spaces and weak convergence. Hilbert spaces: Theorem of projections and abstract Fourier expansions (elements of orthogonal polynomials and Bessel functions are presented) Riesz Theorem and adjoint operators; compact operators. The first elements of distributions and Fourier transform of tempered distributions.

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