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Functional Analysis and Operator Theory

The book contains a collection of more than 800 problems from all main chapters of functional analysis, with theoretical background and solutions. It is mostly intended for undergraduate students who are starting to study the course of functional analysis. The book will also be useful for graduate a...

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Bibliografiske detaljer
Main Authors: Brayman, Volodymyr (Author), Chaikovskyi, Andrii (Author), Konstantinov, Oleksii (Author), Kukush, Alexander (Author), Mishura, Yuliya (Author), Nesterenko, Oleksii (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Udgivelse:1st ed. 2024.
Serier:Problem Books in Mathematics,
Fag:
Functional analysis.
Operator theory.
Functional Analysis.
Operator Theory.
Online adgang:https://doi.org/10.1007/978-3-031-56427-7
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Indholdsfortegnelse:
  • Preface
  • Banach Spaces
  • Hilbert Spaces
  • Continuous Linear Functionals
  • Hahn - Banach Theorem
  • Weak and Weak* Convergence
  • Bounded Linear Operators
  • Uniform, Strong and Weak Operator Convergences
  • Inverse Operators
  • Classes of Linear Operators in Hilbert Space
  • Compact Sets and Operators
  • Spectrum of Linear Operators
  • Spectral Theory of Compact Operators
  • Integral Equations
  • Generalized Functions
  • Answers, hints and solutions
  • List of notations
  • References.

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