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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Function Spaces and Operators between them
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21 Tage Widerrufsrecht
Function Spaces and Operators between them
José Bonet, David Jornet, Pablo Sevilla-Peris (Broschiert, Englisch)
Optischer Zustand
Beschreibung
The aim of this work is to present, in a unified and reasonably self-contained way, certain aspects of functional analysis which are needed to treat function spaces whose topology is not derived from a single norm, their topological duals and operators between those spaces. We treat spaces of continuous, analytic and smooth functions as well as sequence spaces. Operators of differentiation,… integration, composition, multiplication and partial differential operators between those spaces are studied. A brief introduction to Laurent Schwartz’s theory of distributions and to Lars Hörmander’s approach to linear partial differential operators is presented. The novelty of our approach lies mainly on two facts. First of all, we show all these topics together in an accessible way, stressing the connection between them. Second, we keep it always at a level that is accessible to beginners and young researchers. Moreover, parts of the book might be of interest for researchers in functional analysis and operator theory. Our aim is not to build and describe a whole, complete theory, but to serve as an introduction to some aspects that we believe are interesting. We wish to guide any reader that wishes to enter in some of these topics in their first steps. Our hope is that they learn interesting aspects of functional analysis and become interested to broaden their knowledge about function and sequence spaces and operators between them. The text is addressed to students at a master level, or even undergraduate at the last semesters, since only knowledge on real and complex analysis is assumed. We have intended to be as self-contained as possible, and wherever an external citation is needed, we try to be as precise as we can. Our aim is to be an introduction to topics in, or connected with, different aspects of functional analysis. Many of them are in some sense classical, but we tried to show a unified direct approach; some others are new. This is why parts of these lectures might be of some interest even for researchers in related areas of functional analysis or operator theory. There is a full chapter about transitive and mean ergodic operators on locally convex spaces. This material is new in book form. It is a novel approach and can be of interest for researchers in the area. 149,79 €
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Handgeprüfte Gebrauchtware
Bis zu 50 % günstiger als neu
21 Tage Widerrufsrecht
Technische Daten
Erscheinungsdatum
29.10.2024
Sprache
Englisch
EAN
9783031416040
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
RSME Springer Series
Sonderedition
Nein
Autor
José Bonet, David Jornet, Pablo Sevilla-Peris
Seitenanzahl
269
Einbandart
Broschiert
Schlagwörter
Operator Theory, Spaces of Holomorphic Functions, Fréchet Spaces, Composition Operators, Hypercyclic Operators, Function Spaces, Linear Partial Differential Operators, Schwartz Distribution Theory, Mean Ergodic Operators
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
Höhe
235 mm
Breite
15.5 cm
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