A course in abstract analysis John B. Conway.
Series Graduate studies in mathematics ; volume 141Detalles de publicación: Providence, Rhode Island American Mathematical Society c2012.Descripción: xv, 367 pages 26 cm Tipo de medio:- 9780821890837 (acid-free paper)
- 515 C7671c 23
- QA312 .C5785 2012
| Imagen de cubierta | Tipo de ítem | Biblioteca actual | Biblioteca de origen | Colección | Ubicación en estantería | Signatura topográfica | Materiales especificados | Info Vol | URL | Copia número | Estado | Notas | Fecha de vencimiento | Código de barras | Reserva de ítems | Prioridad de la cola de reserva de ejemplar | Reservas para cursos | |
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| Libro | Biblioteca Encarnación Valdés Colección General bev | 515 C7671c (Navegar estantería(Abre debajo)) | Disponible | 80000002488701 |
Descripciones mejoradas de Syndetics:
This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.
Includes bibliographical references (pages 359-360) and index.