About the book
A First Course in Functional Analysis lucidly covers Banach
spaces, continuous linear functionals, the basic theorems
of bounded linear operators, Hilbert spaces, operators on
Hilbert spaces, spectral theory and Banach algebras
usually taught as a core course to post-graduate students
in mathematics. The special distinguishing features of the book
includes the establishment of the spectral theorem for
the compact normal operators in the infinite dimensional
case exactly in the same form as in the finite
dimensional case and a detailed treatment of the theory
of Banach algebras leading to the proof of the
Gelfond – Neumark structure theorem for Banach algebras.
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