Elementary functional analysis
This text is intended for a one-semester introductory course in functional analysis for graduate students and well-prepared advanced undergraduates in mathematics and related fields. It is also suitable for self-study, and could be used for an independent reading course for undergraduates preparing...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Έκδοση: | 1st ed. 2009. |
| Σειρά: | Graduate Texts in Mathematics
253 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
Description d'après consultation du 20 octobre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Elementary functional analysis, Barbara D. MacCluer, New York, Springer, 2009, 1 vol. (X-207 p.), Graduate texts in mathematics, 978-0-387-85528-8 • Elementary Functional Analysis, Texte imprimé, 9781441927538 • Elementary Functional Analysis, Texte imprimé, 9780387855851 • Elementary functional analysis, Barbara D. MacCluer, New York, Springer, 2009, 1 vol. (X-207 p.), Graduate texts in mathematics, 978-0-387-85528-8 • Elementary Functional Analysis, Texte imprimé, 9781493991105 |
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| 041 | 0 | |a eng | |
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| 084 | |a 46-01. 2000 | ||
| 084 | |a 47-01. 2000 | ||
| 100 | 1 | |a MacCluer, Barbara D., |d 19..- | |
| 245 | 1 | 0 | |a Elementary functional analysis |c Barbara D. MacCluer. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 253 |x 2197-5612 | |
| 500 | |a Description d'après consultation du 20 octobre 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Hilbert Space Preliminaries Operator Theory Basics The Big Three Compact Operators Banach and C -Algebras The Spectral Theorem. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This text is intended for a one-semester introductory course in functional analysis for graduate students and well-prepared advanced undergraduates in mathematics and related fields. It is also suitable for self-study, and could be used for an independent reading course for undergraduates preparing to start graduate school. While this book is relatively short, the author has not sacrificed detail. Arguments are presented in full, and many examples are discussed, making the book ideal for the reader who may be learning the material on his or her own, without the benefit of a formal course or instructor. Each chapter concludes with an extensive collection of exercises. The choice of topics presented represents not only the author's preferences, but also her desire to start with the basics and still travel a lively path through some significant parts of modern functional analysis. The text includes some historical commentary, reflecting the author's belief that some understanding of the historical context of the development of any field in mathematics both deepens and enlivens one's appreciation of the subject. The prerequisites for this book include undergraduate courses in real analysis and linear algebra, and some acquaintance with the basic notions of point set topology. An Appendix provides an expository discussion of the more advanced real analysis prerequisites, which play a role primarily in later sections of the book. Barbara MacCluer is Professor of Mathematics at University of Virginia. She also co-authored a book with Carl Cowen, Composition Operators on Spaces of Analytic Functions (CRC 1995). | ||
| 650 | |a Analyse fonctionnelle | ||
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| 776 | 0 | |t Elementary Functional Analysis |b Texte imprimé |z 9781441927538 | |
| 776 | 0 | |t Elementary Functional Analysis |b Texte imprimé |z 9780387855851 | |
| 776 | 0 | |0 132781689 |t Elementary functional analysis |f Barbara D. MacCluer |c New York |n Springer |d 2009 |p 1 vol. (X-207 p.) |s Graduate texts in mathematics |z 978-0-387-85528-8 | |
| 776 | 0 | |t Elementary Functional Analysis |b Texte imprimé |z 9781493991105 | |
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