I'm confused about which books I have to read for Functional analysis for the beginner level.
I need references for very basic books in Functional analysis and that book must contain given Topics below
$1.$ Normed linear spaces,
$2.$ Banach spaces,
$3.$ Hilbert spaces,
$4.$ Compact operators.
$5.$ Properties of $ C[0;1]$ and $L^p[0;1]$
$6.$ Continuous linear maps (linear operators).
$7.$ Hahn-Banach Theorem, Open mapping theorem,
$8.$ Closed graph theorem and the uniform boundedness principle.
Best Answer
As @Jan mentioned in the comments, Kreyszig's text on functional analysis is a great introduction and has all the topics that you're looking for. It also has a great deal of applications which other texts seem to ignore. However, it does not cover the measure theoretic aspects of the theory.