Fundamentals of Functional Analysis

• Verfasst von: Khanfer, Ammar [VerfasserIn]
• Titel: Fundamentals of Functional Analysis
• Verf.angabe: by Ammar Khanfer
• Ausgabe: 1st ed. 2023.
• Verlagsort: Singapore
• Verlagsort: Singapore
• Verlag: Springer Nature Singapore
• Verlag: Imprint: Springer
• E-Jahr: 2023
• Jahr: 2023.
• Jahr: 2023.
• Umfang: 1 Online-Ressource(XIX, 443 p. 1 illus.)
• ISBN: 978-981-9930-29-6
• DOI: doi:10.1007/978-981-99-3029-6
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe
• K10plus-PPN: 1871463688
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

Chapter 1: Normed Spaces -- Chapter 2: Linear Functionals -- Chapter 3: Locally Convex Spaces -- Chapter 4: Banach Spaces -- Chapter 5: Hilbert Spaces -- Chapter 6: Topology on Banach Spaces -- Chapter 7: Operators on Banach Spaces -- Chapter 8: The geometry of Banach Spaces.

Abstract

This textbook offers a comprehensive exploration of functional analysis, covering a wide range of topics. With over 150 solved examples and more than 320 problems, the book is designed to be both motivational and user-friendly for students for senior undergraduate and graduate courses in mathematics, providing clear and thorough explanations of all concepts. The second volume in a three-part series, this book delves into normed spaces, linear functionals, locally convex spaces, Banach spaces, Hilbert spaces, topology of Banach spaces, operators on Banach spaces and geometry of Banach spaces. The text is written in a clear and engaging style, making it ideal for independent study. It offers a valuable source for students seeking a deeper understanding of functional analysis, and provides a solid understanding of the topic.