Notes of Seminar of Advanced Functional Analysis and Integral Transforms: Acta Matematica

Functional analysis is a branch of mathematics in mathematical analysis that involves the study in wide scope of the infinite vector spaces (mainly function spaces), their topologies and mappings between said function spaces. These mappings are called operators, which can be of infinite dimension and necessarily close range on real or complex domains and also functionals. Also, the study is on some properties of these mappings such as duality, boundness, compactness, continuity, measurability, spectrally, and extended properties to quantum algebras and C*-algebras. The present book is a collection of notes on expositions, talks, exercises and lectures on advanced functional analysis.