Functional Analysis: An Introduction (Graduate Studies in Mathematics)

Eidelman, Yuli

ISBN 10: 0821836463 / ISBN 13: 9780821836460

Verlag: American Mathematical Society, 2004

Beschreibung

Introduces the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators and spectral theory of self-adjoint operators. This work presents the theorems and methods of abstract functional analysis and applications of these methods to Banach algebras and theory of unbounded self-adjoint operators. Series: Graduate Studies in Mathematics. Num Pages: 322 pages, Illustrations. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 260 x 184 x 22. Weight in Grams: 750. . 2004. Hardcover. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verkäufers V9780821836460

Bibliografische Details

• Titel: Functional Analysis: An Introduction (Graduate Studies in Mathematics)
• Verlag: American Mathematical Society
• Erscheinungsjahr: 2004
• Sprache: Englisch
• ISBN-10: 0821836463
• ISBN-13: 9780821836460
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators. The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially self-contained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book. The amount of mathematics presented in the book can well be absorbed in a year's study and will provide a sound basis for future reading. It is suitable for graduate students and researchers interested in operator theory and functional analysis.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.