New Aspects in Interpolation and Completion Theories:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
1993
|
| Series: | Operator Theory Advances and Applications
64 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This volume consists of eight papers containing recent advances in interpolation theory for matrix functions and completion theory for matrices and operators. In the first paper, D. Alpay and P. Loubaton, "The tangential trigonometric moment problem on an interval and related topics" a trigonometric moment problem on an interval for matrix valued functions is studied. The realization approach plays an important role in solving this problem. The second paper, M. Bakonyi, V.G. Kaftal, G. Weiss and H.J. Woerdeman, "Maximum entropy and joint norm bounds for operator extensions" is dedicated to a matrix completion problem. In it is considered the problem when only the lower triangular part of the operator entries of a matrix is identified. Completions which have simultaneously a small usual norm and a small Hilbert-Schmidt norm are considered. Bounds for these norms are obtained. The analysis of the maximum entropy extension plays a special role. The paper contains applications to nest algebras and integral operators. The third paper, J .A. Ball, I. Gohberg and M.A. Kaashoek, "Bitangential interpolation for input-output operators of time varying systems: the discrete time case" contains solutions of time varying interpolation problems. The main attention is focused on the time varying analog of the Nevanlinna-Pick tangential problem in the case where the interpolation conditions appear from two sides. The state space theory of time varying systems play an important role |
| Physical Description: | 1 Online-Ressource (X, 221 p) |
| ISBN: | 9783034885621 9783034896818 |
| DOI: | 10.1007/978-3-0348-8562-1 |
Staff View
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| discipline | Allgemeine Naturwissenschaft Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034885621 9783034896818 |
| language | English |
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| publishDate | 1993 |
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| publisher | Birkhäuser Basel |
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| series | Operator Theory Advances and Applications |
| series2 | Operator Theory Advances and Applications |
| spelling | Gohberg, Yiśrāʿēl Z. 1928-2009 Verfasser (DE-588)118915878 aut New Aspects in Interpolation and Completion Theories edited by I. Gohberg Basel Birkhäuser Basel 1993 1 Online-Ressource (X, 221 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory Advances and Applications 64 This volume consists of eight papers containing recent advances in interpolation theory for matrix functions and completion theory for matrices and operators. In the first paper, D. Alpay and P. Loubaton, "The tangential trigonometric moment problem on an interval and related topics" a trigonometric moment problem on an interval for matrix valued functions is studied. The realization approach plays an important role in solving this problem. The second paper, M. Bakonyi, V.G. Kaftal, G. Weiss and H.J. Woerdeman, "Maximum entropy and joint norm bounds for operator extensions" is dedicated to a matrix completion problem. In it is considered the problem when only the lower triangular part of the operator entries of a matrix is identified. Completions which have simultaneously a small usual norm and a small Hilbert-Schmidt norm are considered. Bounds for these norms are obtained. The analysis of the maximum entropy extension plays a special role. The paper contains applications to nest algebras and integral operators. The third paper, J .A. Ball, I. Gohberg and M.A. Kaashoek, "Bitangential interpolation for input-output operators of time varying systems: the discrete time case" contains solutions of time varying interpolation problems. The main attention is focused on the time varying analog of the Nevanlinna-Pick tangential problem in the case where the interpolation conditions appear from two sides. The state space theory of time varying systems play an important role Science (General) Science, general Naturwissenschaft Matrixfunktion (DE-588)4169117-9 gnd rswk-swf Interpolation (DE-588)4162121-9 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Vervollständigung Mathematik (DE-588)4309936-1 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 s Vervollständigung Mathematik (DE-588)4309936-1 s 1\p DE-604 Operator (DE-588)4130529-2 s 2\p DE-604 Matrixfunktion (DE-588)4169117-9 s Interpolation (DE-588)4162121-9 s 3\p DE-604 Operator Theory Advances and Applications 64 (DE-604)BV035421307 64 https://doi.org/10.1007/978-3-0348-8562-1 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gohberg, Yiśrāʿēl Z. 1928-2009 New Aspects in Interpolation and Completion Theories Operator Theory Advances and Applications Science (General) Science, general Naturwissenschaft Matrixfunktion (DE-588)4169117-9 gnd Interpolation (DE-588)4162121-9 gnd Operator (DE-588)4130529-2 gnd Matrix Mathematik (DE-588)4037968-1 gnd Vervollständigung Mathematik (DE-588)4309936-1 gnd |
| subject_GND | (DE-588)4169117-9 (DE-588)4162121-9 (DE-588)4130529-2 (DE-588)4037968-1 (DE-588)4309936-1 |
| 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 edited by I. Gohberg |
| title_fullStr | New Aspects in Interpolation and Completion Theories edited by I. Gohberg |
| title_full_unstemmed | New Aspects in Interpolation and Completion Theories edited by I. Gohberg |
| title_short | New Aspects in Interpolation and Completion Theories |
| title_sort | new aspects in interpolation and completion theories |
| topic | Science (General) Science, general Naturwissenschaft Matrixfunktion (DE-588)4169117-9 gnd Interpolation (DE-588)4162121-9 gnd Operator (DE-588)4130529-2 gnd Matrix Mathematik (DE-588)4037968-1 gnd Vervollständigung Mathematik (DE-588)4309936-1 gnd |
| topic_facet | Science (General) Science, general Naturwissenschaft Matrixfunktion Interpolation Operator Matrix Mathematik Vervollständigung Mathematik |
| url | https://doi.org/10.1007/978-3-0348-8562-1 |
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| work_keys_str_mv | AT gohbergyisraʿelz newaspectsininterpolationandcompletiontheories |