Fredholm Theory in Topological Vector Spaces
-
- Einzelkauf Download ausgewählt
-
Sprache:Englisch
160,49 €
inkl. gesetzl. MwSt.Beschreibung
Produktdetails
Format
Kopierschutz
Nein
Family Sharing
Nein
Text-to-Speech
Nein
Erscheinungsdatum
21.04.2026
Verlag
SpringerSeitenzahl
282 (Printausgabe)
Dateigröße
3410 KB
Sprache
Englisch
EAN
9783032247384
This book aims to investigate how Riesz and Fredholm operator theories extend and adapt within the framework of topological vector spaces. At its core, this book seeks to generalize classical operator theory, traditionally developed in Banach and Hilbert spaces, to more inclusive topological settings. It offers a unified and comprehensive approach to understanding Riesz and Fredholm theories beyond the confines of local convexity and in the absence of an abundance of continuous linear functionals (which are the prevalent assumptions in existing literature). The exposition begins with foundational concepts in topology, including open and closed sets, neighborhoods, and compactness. It then introduces metrics, norms, and completeness, followed by a treatment of vector spaces, subspaces, and linear topological structures. The discussion progresses to inner products, orthogonality, and Hilbert space geometry. The heart of the book is the development of Riesz theory in topological vector spaces, beginning with compact operators, eigenvalues, and eigensubspaces, and advancing to spectral theory. This sets the stage for constructing a Fredholm theory in general topological contexts, requiring new definitions and a thorough exploration of the Fredholm index, its stability, and its applications. The book also includes a wide range of exercises (from foundational proofs to advanced problems) designed to reinforce the content covered and to provide additional insights.
Noch keine Bewertungen vorhanden
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.
Kurze Frage zu unserer Seite
Vielen Dank für dein Feedback
Wir nutzen dein Feedback, um unsere Produktseiten zu verbessern. Bitte habe Verständnis, dass wir dir keine Rückmeldung geben können. Falls du Kontakt mit uns aufnehmen möchtest, kannst du dich aber gerne an unseren Kund*innenservice wenden.
zum Kundenservice