Functional Analysis Revisited: An Essay on Completeness
Author:   Adam Bobrowski (Politechnika Lubelska, Poland)
Publisher:   Cambridge University Press
ISBN:  

9781009430890


Pages:   250
Publication Date:   04 July 2024
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Functional Analysis Revisited: An Essay on Completeness


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Author:   Adam Bobrowski (Politechnika Lubelska, Poland)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 15.20cm , Height: 1.40cm , Length: 22.90cm
Weight:   0.423kg
ISBN:  

9781009430890


ISBN 10:   1009430890
Pages:   250
Publication Date:   04 July 2024
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction; 1. Complete metric spaces; 2. Banach's principle; 3. Picard's theorem; 4. Banach spaces; 5. Renewal equation in the McKendrick–von Foerster model; 6. Riemann integral for vector-valued functions; 7. The Stone–Weierstrass theorem; 8. Norms do differ; 9. Hilbert spaces; 10. Complete orthonormal sequences; 11. Heat equation; 12. Completeness of the space of operators; 13. Working in L(X); 14. The Banach–Steinhaus theorem and strong convergence; 15. We go deeper, deeper we go (into the structure of complete spaces); 16. Semigroups of operators; Appendix. Two consequences of the Hahn–Banach theorem; References; Index.

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Author Information

Adam Bobrowski is a professor in the Department of Mathematics at Lublin University of Technology, Poland. He was awarded the Hugo Steinhaus Prize for his achievements in analyzing mathematical models of biological reality and has authored more than 70 scientific papers and six books. His works include 'Functional Analysis for Probability and Stochastic Processes' (2005), 'Convergence of One-Parameter Operator Semigroups' (2016), and 'Generators of Markov Chains' (2020).

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