Hankel operators on Hilbert space:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Pitman
1982
|
| Series: | Research notes in mathematics
64 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 87 S. |
| ISBN: | 0273085182 |
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MARC
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| 100 | 1 | |a Power, Stephen C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Hankel operators on Hilbert space |c S. C. Power |
| 264 | 1 | |a Boston [u.a.] |b Pitman |c 1982 | |
| 300 | |a 87 S. | ||
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| 650 | 7 | |a théorie spectrale |2 inriac | |
| 650 | 4 | |a Hankel operators | |
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Record in the Search Index
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| adam_text | Contents
1. Boundedness and Compactness 1
1. A theorem of Parrott 2
2. Nehari s theorem on bounded Hankel matrices 4
3. Hartman s theorem on compact Hankel operators 6
4. Kronecker s theorem on finite rank Hankel matrices 6
5. Widom s characterisation of bounded and compact Hankel measures 7
6. Carleson measures 9
Notes 10
Problems 11
2. Unitary Equivalence 13
1. Hankel integral operators S^ 13
2. Equivalent definitions 15
3. A diagram linking H2, H2(IR) ,L2(IR+) ,L2(t ) and L2(jx) 16
4. Nuclear positive Hankel operators 16
5. Widom s characterisation of bounded and compact S^ 17
6. Carleman s operator 18
Notes 19
Problems 19
3. Nuclearity 21
1. Nuclear S In ] 21
2. The Besov space A* 22
3. Peller s characterisation of nuclearity 22
4. 7j lattices in the upper half plane U 24
5. The Coifman Eochberg decomposition for H1(U) 25
6. Coifman and Rochberg s theorem on nuclearity 29
7. Measures for nuclear Hankel operators 30
8. Equivalent norms for A* 31
Notes 31
Problems 31
4. Factorisation of the Symbol 33
1. Beurling s theorem 33
2. Partial isometries 33
3. The spectra of compression operators, pr (h) 35
4. Clark s theorem on closed range 36
5. Interpolating Blaschke products u 37
6. ||S||, ||S||p and l|S||e for S = Szah 38
7. Almost diagonal Hankel operators 39
Notes 41
Problems 42
5. Best approximation and s numbers 43
1. Characterisation of s numbers 43
2. Berg s theorem on best compact Hankel approximation 46
3. Best approximation by H°° + C 47
4. Unique best H approximation 47
5. The hereditary property for quasicontinuous functions 48
6. Unimodular quasicontinuous functions 49
7. A hereditary theorem of PeHer and Hruscev 51
Notes 53
Problems 54
6. Spectral theory 55
1. Non Fredholmness 55
2. A spectral theorem of Hartman and Wintner 55
3. The Hankel operators with sequence £n/n+l» |£ | = l 56
4. Magnus theorem on the spectrum of Hilbert s matrix 58
5. Hankel operators with pieeewise continuous symbols 59
6. Lindelof s theorem 60
Notes 60
Problems 61
7. C algebraic methods 62
1. Slowly oscillating functions and J*= C * ({ Q ,R, y, S O]) 62
2. Generators of C ([ 0,1], M2 63
3. The local ideals 65
4. Douglas localisation theorem 66
5. A representation of J l£tC 67
6. Hankel operators with PSO symbol 68
7. Singular integral operators with PSO kernel 70
8. Toeplitz operators with PSO symbol 70
9. Carleman shift operators with slowly oscillating coefficients 71
Notes 73
Problems 73
8. Products of Hankel operators 75
1. Criteria for compact products 75
2. A theorem of Axler, Chang, Sarason and Volberg 78
Notes 78
Appendix 79
1. Compactness of MQ Q M for SO 79
2. Fefferman s theorem on BMO 80
3. Sarason s theorem on VMO 80
4. The inclusion of SO by VMO 80
5. The Fredholm index of T for $Jn H°° + C 81
Bibliography 82
|
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| dewey-search | 515.7/33 515.7/23 |
| dewey-sort | 3515.7 233 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV000230997 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:10:47Z |
| institution | BVB |
| isbn | 0273085182 |
| language | English |
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| physical | 87 S. |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Pitman |
| record_format | marc |
| series | Research notes in mathematics |
| series2 | Research notes in mathematics |
| spelling | Power, Stephen C. Verfasser aut Hankel operators on Hilbert space S. C. Power Boston [u.a.] Pitman 1982 87 S. txt rdacontent n rdamedia nc rdacarrier Research notes in mathematics 64 espace Hilbert inriac opérateur Hankel inriac théorie opérateur inriac théorie spectrale inriac Hankel operators Hilbert space Spectral theory (Mathematics) Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Hankel-Operator (DE-588)4314042-7 gnd rswk-swf Hankel-Operator (DE-588)4314042-7 s Hilbert-Raum (DE-588)4159850-7 s DE-604 Research notes in mathematics 64 (DE-604)BV000000039 64 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000138439&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Power, Stephen C. Hankel operators on Hilbert space Research notes in mathematics espace Hilbert inriac opérateur Hankel inriac théorie opérateur inriac théorie spectrale inriac Hankel operators Hilbert space Spectral theory (Mathematics) Hilbert-Raum (DE-588)4159850-7 gnd Hankel-Operator (DE-588)4314042-7 gnd |
| subject_GND | (DE-588)4159850-7 (DE-588)4314042-7 |
| title | Hankel operators on Hilbert space |
| title_auth | Hankel operators on Hilbert space |
| title_exact_search | Hankel operators on Hilbert space |
| title_full | Hankel operators on Hilbert space S. C. Power |
| title_fullStr | Hankel operators on Hilbert space S. C. Power |
| title_full_unstemmed | Hankel operators on Hilbert space S. C. Power |
| title_short | Hankel operators on Hilbert space |
| title_sort | hankel operators on hilbert space |
| topic | espace Hilbert inriac opérateur Hankel inriac théorie opérateur inriac théorie spectrale inriac Hankel operators Hilbert space Spectral theory (Mathematics) Hilbert-Raum (DE-588)4159850-7 gnd Hankel-Operator (DE-588)4314042-7 gnd |
| topic_facet | espace Hilbert opérateur Hankel théorie opérateur théorie spectrale Hankel operators Hilbert space Spectral theory (Mathematics) Hilbert-Raum Hankel-Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000138439&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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