Advanced Functional Analysis [Hardcover] [Jan 01, 2016] Ana M. Aguilera, Manuel Escabias

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 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 continuous, unitary etc. operators between function spaces. Functional analysis plays an important role in the applied sciences as well as in mathematics itself. This book is intended to familiarize with the basic concepts, principles and methods of functional analysis and its applications, and they are intended for senior graduate students as well as for researchers and professionals.