New aspects in interpolation and completion theories:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Basel u.a.
Birkhäuser
1993
|
| Series: | Operator theory
64 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 217 S. |
| ISBN: | 3764329483 0817629483 |
Staff View
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| 245 | 1 | 0 | |a New aspects in interpolation and completion theories |c ed. by I. Gohberg |
| 264 | 1 | |a Basel u.a. |b Birkhäuser |c 1993 | |
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Record in the Search Index
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| adam_text | Contents
Editorial Introduction IX
D. Alpay and P. Loubaton
The tangential trigonometric moment problem on an interval and related topics 1
1. Introduction 1
2. Some lemmas on matrix valued rational functions 3
3. The main result 9
4. The Nevanlinna Pick problem 18
References 20
M. Bakonyi, V. G. Kaftal, G. Weiss and H. J. Woerdeman
Maximum entropy and joint norm bounds for operator extensions 23
1. Introduction 23
2. A sharp bound in the 2x2 case 25
3. The maximum entropy method 26
4. An application to integral operators 30
References 31
J. A. Ball, I. Gohberg and M. A. Kaashoek
Bitangential interpolation for input output operators of time varying systems:
the discrete time case 33
0. Introduction 33
1. Residue calculus and generalized point evaluation 34
2. Pairs of diagonal operators and homogeneous one sided interpolation 41
3. Bitangential interpolation data set 43
4. Bitangential interpolation in geometric terms 47
5. Intermezzo about admissible Sylvester data sets 53
6. Construction of a particular solution 56
7. Parametrization of all solutions (without norm constraints) 59
8. Input output operators of time varying systems 62
9. Parametrization of all contractive input output operators satisfying the bitangential
interpolation conditions 66
References 71
J. A. Ball, I. Gohberg and L. Rodman
Two sided tangential interpolation of real rational matrix functions 73
1. Introduction 73
2. Minimal realizations 76
3. Local data 77
4. Two sided tangential interpolation: existence of real interpolants 85
5. Two sided tangential interpolation with real valued data:
Description of interpolants 89
6. Degrees of interpolants 90
7. Generalized Nevanlinna Pick interpolation for real rational matrix functions .... 98
References 99
H. Du and C. Gu
On the spectra of operator completion problems 103
1. Introduction 103
2. Case of finite dimensional spaces 104
3. Case of infinite dimensional spaces 109
References 116
C. Foias, A. E. Frazho and W. S. Li
The exact H2 estimate for the central H°° interpolant 119
Introduction 119
1. An improved Kaftal Larson Weiss estimate 120
2. Some formulas for DBv 130
3. The role of D^IIJ 134
4. The four block problem 143
5. Optimal solutions 150
References 153
A. E. Frazho and S. M. Kherat
On mixed IF H00 tangential interpolation 157
1. Introduction 157
2. Formulas for the central solution 163
3. A state space approach 172
4. Applications of the H2 H°° tangential interpolation problem 187
References 197
/. Gohberg and C. Gu
On a completion problem for matrices
1. Introduction 203
2. Main theorems in the finite dimensional case 204
3. The full range case 207
4. The proof of the main theorems in the finite dimensional case 210
5. Infinite dimensional case 212
References 217
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| indexdate | 2024-07-09T17:15:47Z |
| institution | BVB |
| isbn | 3764329483 0817629483 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005393845 |
| oclc_num | 246604928 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-739 DE-355 DE-BY-UBR DE-824 DE-522 DE-634 DE-11 DE-188 |
| physical | 217 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | New aspects in interpolation and completion theories ed. by I. Gohberg Basel u.a. Birkhäuser 1993 217 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 64 Vervollständigung Mathematik (DE-588)4309936-1 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Matrixfunktion (DE-588)4169117-9 gnd rswk-swf Interpolation (DE-588)4162121-9 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Matrixfunktion (DE-588)4169117-9 s Interpolation (DE-588)4162121-9 s DE-604 Operator (DE-588)4130529-2 s Vervollständigung Mathematik (DE-588)4309936-1 s Matrix Mathematik (DE-588)4037968-1 s Gohberg, Yiśrāʿēl Z. 1928-2009 Sonstige (DE-588)118915878 oth Operator theory 64 (DE-604)BV000000970 64 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005393845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | New aspects in interpolation and completion theories Operator theory Vervollständigung Mathematik (DE-588)4309936-1 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrixfunktion (DE-588)4169117-9 gnd Interpolation (DE-588)4162121-9 gnd Operator (DE-588)4130529-2 gnd |
| subject_GND | (DE-588)4309936-1 (DE-588)4037968-1 (DE-588)4169117-9 (DE-588)4162121-9 (DE-588)4130529-2 |
| title | New aspects in interpolation and completion theories |
| title_auth | New aspects in interpolation and completion theories |
| title_exact_search | New aspects in interpolation and completion theories |
| title_full | New aspects in interpolation and completion theories ed. by I. Gohberg |
| title_fullStr | New aspects in interpolation and completion theories ed. by I. Gohberg |
| title_full_unstemmed | New aspects in interpolation and completion theories ed. by I. Gohberg |
| title_short | New aspects in interpolation and completion theories |
| title_sort | new aspects in interpolation and completion theories |
| topic | Vervollständigung Mathematik (DE-588)4309936-1 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrixfunktion (DE-588)4169117-9 gnd Interpolation (DE-588)4162121-9 gnd Operator (DE-588)4130529-2 gnd |
| topic_facet | Vervollständigung Mathematik Matrix Mathematik Matrixfunktion Interpolation Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005393845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
| work_keys_str_mv | AT gohbergyisraʿelz newaspectsininterpolationandcompletiontheories |