Introduction to Functional Analysis
by Vladimir V. Kisil
Publisher: University of Leeds 2021
Number of pages: 166
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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In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics.
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