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Functional Analysis eBooks . We hope mathematician or person who’s interested in mathematics like these books.

Functional Analysis written by Douglas N. Arnold
. This is an other book of mathematics cover the following topics.

1. Vector spaces and their topology Subspaces and quotient spaces
Basic properties of Hilbert spaces

2. Linear Operators and Functionals The Hahn–Banach Theorem
Duality

3. Fundamental Theorems The Open Mapping Theorem
The Uniform Boundedness Principle
The Closed Range Theorem

4. Weak Topologies The weak topology
The weak* topology

5. Compact Operators and their Spectra Hilbert–Schmidt operators
Compact operators
Spectral Theorem for compact self-adjoint operators
The spectrum of a general compact operator

6. Introduction to General Spectral Theory The spectrum and resolvent in a Banach algebra
Spectral Theorem for bounded self-adjoint operators