Linear Operators in Hilbert Spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1980
|
| Schriftenreihe: | Graduate Texts in Mathematics
68 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This English edition is almost identical to the German original Lineare Operatoren in Hilberträumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applications of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators |
| Beschreibung: | 1 Online-Ressource (XIV, 402 p) |
| ISBN: | 9781461260271 9781461260295 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-6027-1 |
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Datensatz im Suchindex
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| discipline | Mathematik |
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| spelling | Weidmann, Joachim Verfasser aut Linear Operators in Hilbert Spaces by Joachim Weidmann New York, NY Springer US 1980 1 Online-Ressource (XIV, 402 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 68 0072-5285 This English edition is almost identical to the German original Lineare Operatoren in Hilberträumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applications of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators Mathematics Global analysis (Mathematics) Analysis Mathematik Linearer Operator (DE-588)4167721-3 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Linearer Operator (DE-588)4167721-3 s Hilbert-Raum (DE-588)4159850-7 s 2\p DE-604 Graduate Texts in Mathematics 68 (DE-604)BV035421258 68 https://doi.org/10.1007/978-1-4612-6027-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Weidmann, Joachim Linear Operators in Hilbert Spaces Graduate Texts in Mathematics Mathematics Global analysis (Mathematics) Analysis Mathematik Linearer Operator (DE-588)4167721-3 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| subject_GND | (DE-588)4167721-3 (DE-588)4159850-7 (DE-588)4123623-3 |
| title | Linear Operators in Hilbert Spaces |
| title_auth | Linear Operators in Hilbert Spaces |
| title_exact_search | Linear Operators in Hilbert Spaces |
| title_full | Linear Operators in Hilbert Spaces by Joachim Weidmann |
| title_fullStr | Linear Operators in Hilbert Spaces by Joachim Weidmann |
| title_full_unstemmed | Linear Operators in Hilbert Spaces by Joachim Weidmann |
| title_short | Linear Operators in Hilbert Spaces |
| title_sort | linear operators in hilbert spaces |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Linearer Operator (DE-588)4167721-3 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Linearer Operator Hilbert-Raum Lehrbuch |
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| work_keys_str_mv | AT weidmannjoachim linearoperatorsinhilbertspaces |