Introduction to Functional Analysis (Oxford Graduate Texts in Mathematics, 2, Band 2) - Hardcover

Meise, Vogt; Vogt, Dietmar; Meise, Reinhold

Hardcover

ISBN 10: 0198514859 ISBN 13: 9780198514855

Verlag: Oxford University Press, 1997

Inhaltsangabe

The book is written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces it proceeds quickly to the central results of the field, including the theorem of HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov spaces are introduced. A chapter on spectral theory contains the Riesz theory of compact operators, basic facts on Banach and C*-algebras and the spectral representation for bounded normal and unbounded self-adjoint operators in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Fréchet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Fréchet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.

Details zur Ausgabe

• Verlag: Oxford University Press
• Erscheinungsdatum: 1997
• Sprache: Englisch
• ISBN 10: 0198514859
• ISBN 13: 9780198514855
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 448
• Kontakt zum Hersteller: preigu GmbH & Co. KG; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; Niedersachsen; 49078; Deutschland