Functional Analysis: A Terse Introduction (De Gruyter by Gerardo Chacón,Humberto Rafeiro,Juan Camilo Vallejo

By Gerardo Chacón,Humberto Rafeiro,Juan Camilo Vallejo

This textbook on practical research deals a brief and concise creation to the topic. The e-book is designed in the sort of approach as to supply a gentle transition among simple and complex issues and its modular constitution allows a simple assimilation of the content material. ranging from a committed bankruptcy at the axiom of selection, next chapters conceal Hilbert areas, linear operators, functionals and duality, Fourier sequence, Fourier rework, the mounted element theorem, Baire different types, the uniform bounded precept, the open mapping theorem, the closed graph theorem, the Hahn–Banach theorem, adjoint operators, vulnerable topologies and reflexivity, operators in Hilbert areas, spectral conception of operators in Hilbert areas, and compactness. each one bankruptcy ends with plausible problems.
The ebook is appropriate for graduate scholars, but in addition for complex undergraduates, in arithmetic and physics.

Contents:
List of Figures
Basic Notation
Choice Principles
Hilbert Spaces
Completeness, finishing touch and Dimension
Linear Operators
Functionals and twin Spaces
Fourier Series
Fourier Transform
Fixed element Theorem
Baire type Theorem
Uniform Boundedness Principle
Open Mapping Theorem
Closed Graph Theorem
Hahn–Banach Theorem
The Adjoint Operator
Weak Topologies and Reflexivity
Operators in Hilbert Spaces
Spectral concept of Operators on Hilbert Spaces
Compactness
Bibliography
Index

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