الفهرس الالي لمكتبة كلية العلوم و علوم التكنولوجيا
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Titre : |
introduction to operator theory IElements of functional analysis |
Type de document : |
texte imprimé |
Auteurs : |
Arlen Brown ; C. Pearcy |
Editeur : |
New York : Springer-Verlag |
Année de publication : |
1977 |
Collection : |
Graduate texts in mathematics num. 55 |
Importance : |
474 p. |
Format : |
18X25 cm. |
ISBN/ISSN/EAN : |
0398902570 |
Note générale : |
Includes index. |
Langues : |
Français (fre) |
Mots-clés : |
Elements of functional analysis lnear algebra general topology metric spaces complex analysis measurability intgrals and measures normed linear spaces vector sums and bases PRELIMINARIES BANACH SPACES |
Index. décimale : |
515 |
Résumé : |
This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in- tended to be used as a textbook for a subsequent course in operator theory. In writing these books we have naturally been concerned with the level of preparation of the potential reader, and, roughly speaking, we suppose him to be familiar with the approximate equivalent of a one-semester course in each of the following areas: linear algebra, general topology, complex analysis, and measure theory. Experience has taught us, however, that such a sequence of courses inevitably fails to treat certain topics that are important in the study of functional analysis and operator theory. For example, tensor products are frequently not discussed in a first course in linear algebra. Likewise for the topics of convergence of nets and the Baire category theorem in a course in topology, and the connections between measure and topology in a course in measure theory. For this reason we have chosen to devote the first ten chapters of this volume (entitled Part I) to topics of a preliminary nature. In other words, Part I summarizes in considerable detail what a student should (and eventually must) know in order to study functional analysis and operator theory successfully. index. SOMMAIRE:
1/PRELIMINARIES
2/BANACH SPACES
|
Note de contenu : |
Éditeur : Springer-Verlag New York Inc.; Softcover reprint of the original 1st ed. 1977 édition (1 août 2012)
Langue : Anglais
Broché : 476 pages
ISBN-10 : 1461299284
ISBN-13 : 978-1461299288
Poids de l'article : 753 g
Dimensions : 15.49 x 2.84 x 23.5 cm
|
introduction to operator theory IElements of functional analysis [texte imprimé] / Arlen Brown ; C. Pearcy . - New York : Springer-Verlag, 1977 . - 474 p. ; 18X25 cm.. - ( Graduate texts in mathematics; 55) . ISSN : 0398902570 Includes index. Langues : Français ( fre)
Mots-clés : |
Elements of functional analysis lnear algebra general topology metric spaces complex analysis measurability intgrals and measures normed linear spaces vector sums and bases PRELIMINARIES BANACH SPACES |
Index. décimale : |
515 |
Résumé : |
This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in- tended to be used as a textbook for a subsequent course in operator theory. In writing these books we have naturally been concerned with the level of preparation of the potential reader, and, roughly speaking, we suppose him to be familiar with the approximate equivalent of a one-semester course in each of the following areas: linear algebra, general topology, complex analysis, and measure theory. Experience has taught us, however, that such a sequence of courses inevitably fails to treat certain topics that are important in the study of functional analysis and operator theory. For example, tensor products are frequently not discussed in a first course in linear algebra. Likewise for the topics of convergence of nets and the Baire category theorem in a course in topology, and the connections between measure and topology in a course in measure theory. For this reason we have chosen to devote the first ten chapters of this volume (entitled Part I) to topics of a preliminary nature. In other words, Part I summarizes in considerable detail what a student should (and eventually must) know in order to study functional analysis and operator theory successfully. index. SOMMAIRE:
1/PRELIMINARIES
2/BANACH SPACES
|
Note de contenu : |
Éditeur : Springer-Verlag New York Inc.; Softcover reprint of the original 1st ed. 1977 édition (1 août 2012)
Langue : Anglais
Broché : 476 pages
ISBN-10 : 1461299284
ISBN-13 : 978-1461299288
Poids de l'article : 753 g
Dimensions : 15.49 x 2.84 x 23.5 cm
|
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Exemplaires (1)
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ST11515 | 515/206.1 | Ouvrage | Faculté des Sciences et de la Technologie | 500 - Sciences de la nature et Mathématiques | Exclu du prêt |