Spectral theory of operators in Hilbert space:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Springer
1980
|
| Ausgabe: | 2., corr. print. |
| Schriftenreihe: | Applied mathematical sciences
9 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 244 S. |
| ISBN: | 0387900764 3540900764 |
Internformat
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| 300 | |a VIII, 244 S. | ||
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Datensatz im Suchindex
| _version_ | 1804117334013509632 |
|---|---|
| adam_text | Titel: Spectral theory of operators in Hilbert space
Autor: Friedrichs, Kurt O
Jahr: 1980
12 16 22 24 31 31 35 38 46 50 54 55 58 64 64 69 78 85 91 95 103 116 132 140 143 143 147 152 157 TABLE OF CONTENTS Spectral Representation 1 . Three typical problems 2. Linear space and functional representation. Linear operators 3. Spectral representation 4. Functional calculus 5. Differential equations Norm and Inner Product 6. Normed spaces 7. Inner product 8. Inner products in function spaces 9. Formally self-adjoint operators 10. Adjoint operators in function spaces 11. Orthogonality 12. Orthogonal projection 13. Remarks about the role of selfin physics adjoint operators Hilbert Space 14. Completeness 15. First extension theorem. Ideal functions 16. Fourier transformation 17. The projection theorem 18. Bounded forms Bounded Operators 19. Operator inequalities, operator operator convergence norm, 20. Integral operators 21. Functions of bounded operators 22. Spectral representation 23. Normal and unitary operators Operators with Discrete Spectra 24. Operators with partly discrete spectra 25. Completely continuous operators 26. Completely continuous integral operators 27. Maximum-minimum properties of eigenvalues vii
page VI. Non-Bounded Operators 163 28. Closure and adjointness 163 29. Closed forms 169 30. Spectral resolution of self-adjoint operators 174 31. Closeable forms 180 VII. Differential Operators 186 32. Regular differential operators 186 33. Ordinary differential operators in a semi- 192 bounded domain 34. Partial differential operators 197 35. Partial differential operators with boundary 201 conditions 36. Partial differential operators with discrete 206 spectra VIII. Perturbation of Spectra 213 37. Perturbation of discrete spectra 213 38. Perturbation of continuous spectra 222 39. Scattering 237 References 241 Index 242 viii
|
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| discipline | Mathematik |
| edition | 2., corr. print. |
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| indexdate | 2024-07-09T15:52:45Z |
| institution | BVB |
| isbn | 0387900764 3540900764 |
| language | English |
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| physical | VIII, 244 S. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Friedrichs, Kurt O. 1901-1982 Verfasser (DE-588)118820265 aut Spectral theory of operators in Hilbert space Kurt Otto Friedrichs* 2., corr. print. New York Springer 1980 VIII, 244 S. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 9 Hilbert space Operator theory Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 s Operator (DE-588)4130529-2 s Spektraltheorie (DE-588)4116561-5 s DE-604 Operatortheorie (DE-588)4075665-8 s Applied mathematical sciences 9 (DE-604)BV000005274 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001907736&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Friedrichs, Kurt O. 1901-1982 Spectral theory of operators in Hilbert space Applied mathematical sciences Hilbert space Operator theory Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Hilbert-Raum (DE-588)4159850-7 gnd Operatortheorie (DE-588)4075665-8 gnd Operator (DE-588)4130529-2 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4159850-7 (DE-588)4075665-8 (DE-588)4130529-2 |
| title | Spectral theory of operators in Hilbert space |
| title_auth | Spectral theory of operators in Hilbert space |
| title_exact_search | Spectral theory of operators in Hilbert space |
| title_full | Spectral theory of operators in Hilbert space Kurt Otto Friedrichs* |
| title_fullStr | Spectral theory of operators in Hilbert space Kurt Otto Friedrichs* |
| title_full_unstemmed | Spectral theory of operators in Hilbert space Kurt Otto Friedrichs* |
| title_short | Spectral theory of operators in Hilbert space |
| title_sort | spectral theory of operators in hilbert space |
| topic | Hilbert space Operator theory Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Hilbert-Raum (DE-588)4159850-7 gnd Operatortheorie (DE-588)4075665-8 gnd Operator (DE-588)4130529-2 gnd |
| topic_facet | Hilbert space Operator theory Spectral theory (Mathematics) Spektraltheorie Hilbert-Raum Operatortheorie Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001907736&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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