Functional Analysis and Operator Theory

Functional Analysis and Operator Theory

Konstantinov, Oleksii; Mishura, Yuliya; Brayman, Volodymyr; Chaikovskyi, Andrii; Nesterenko, Oleksii; Kukush, Alexander

Springer International Publishing AG

07/2024

346

Dura

9783031564260

Pré-lançamento - envio 15 a 20 dias após a sua edição

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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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Banach space;Hilbert space;linear bounded functional;linear bounded operator;compact operator;inverse operator;spectrum;integral equation;Hahn - Bana?h Theorem;generalized function;uniform, strong and weak operator convergence