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Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure

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Welcome to the Advanced Functional Analysis course guide. This guide will help you research topics related to Advanced Functional Analysis. Start with the tabs above to find course outline, books, e-book, e-databases, e-journal, and other relevant resources. If you have any questions or need help researching a topic, drop me a line, and I'll try to help you out.

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Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner productnormtopology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuousunitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations.

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