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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Einführung in die Funktionalanalysis: (Aufbaukurs Mathematik)
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Einführung in die Funktionalanalysis: (Aufbaukurs Mathematik)

Einführung in die Funktionalanalysis: (Aufbaukurs Mathematik)


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About the Book

Dieses Buch wendet sich an Studierende der Mathematik und der Physik, welche über Grundkenntnisse in Analysis und linearer Algebra verfügen, und ist als Basistext für eine zweisemestrige Vorlesung im Bachelor-Studium geeignet. Ausgehend von metrischen Räumen liefert es einen schnellen Zugang zu den zentralen Teilen der Funktionalanalysis. Behandelt werden u.a. die Sätze von Hahn-Banach, vom abschlossenen Graphen und der gleichmäßigen Beschränktheit. Die Räume lp, Lp (X, µ), C (X)'und Sobolevräume werden eingeführt. In einem Kapitel über Spektraltheorie wird zunächst die Rieszsche Theorie kompakter Operatoren dargestellt, dann werden Resultate über Banachalgebren dazu benutzt, den Spektralsatz für beschränkte normale und unbeschränkte selbstadjungierte Operatoren in Hilberträumen zu beweisen. Der Text für die zweite Auflage wurde korrigiert und aktualisiert und um einen Abschnitt über Fredholmoperatoren erweitert, außerdem wird im Anhang eine Einführung in die schwache Topologie gegeben. Im OnlinePLUS Service des Verlages findet der Leser kostenfrei Zusatzmaterial über lokalkonvexe Räume und Frécheträume. Präliminarien - Banachräume und metrische Vektorräume - Spektraltheorie linearer Operatoren - Studierende der Mathematik im Bachelor-Studium ab dem 4. Semester - Studierende der Physik - Dozenten der genannten Fächer Prof. Dr. Reinhold Meise, Mathematisches Institut der Universität Düsseldorf Prof. Dr. Diemar Vogt, Fachbereich Mathematik der Bergischen Universität Wuppertal. Aufbaukurs Mathematik

About the Author :
Prof. Dr. Reinhold Meise, Mathematisches Institut der Universität Düsseldorf Prof. Dr. Diemar Vogt, Fachbereich Mathematik der Bergischen Universität Wuppertal


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Product Details
  • ISBN-13: 9783834818720
  • Publisher: Springer Fachmedien Wiesbaden
  • Publisher Imprint: Vieweg+Teubner Verlag
  • Edition: Revised edition
  • Language: German
  • Returnable: Y
  • Series Title: Aufbaukurs Mathematik
  • ISBN-10: 3834818720
  • Publisher Date: 03 Aug 2011
  • Binding: Paperback
  • Height: 240 mm
  • No of Pages: 273
  • Returnable: Y
  • Width: 168 mm


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Einführung in die Funktionalanalysis: (Aufbaukurs Mathematik)
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