Operator theory, analytic functions, matrices, and electrical engineering: [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985]
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
[1987]
|
| Schriftenreihe: | Regional conference series in mathematics
68 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xiv, 134 Seiten Illustrationen |
| ISBN: | 0821807188 |
Internformat
MARC
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| 100 | 1 | |a Helton, J. William |d 1944- |e Verfasser |0 (DE-588)132893320 |4 aut | |
| 245 | 1 | 0 | |a Operator theory, analytic functions, matrices, and electrical engineering |b [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] |c J. William Helton with the assistance of Joseph A. Ball, Charles R. Johnson, and John N. Palmer |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c [1987] | |
| 264 | 4 | |c c 1987 | |
| 300 | |a xiv, 134 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Regional conference series in mathematics |v number 68 | |
| 650 | 4 | |a Analyse fonctionnelle | |
| 650 | 4 | |a Matrices | |
| 650 | 4 | |a Opérateurs, Théorie des | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Matrices | |
| 650 | 4 | |a Operator theory | |
| 650 | 0 | 7 | |a Analytische Funktion |0 (DE-588)4142348-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Matrix |g Mathematik |0 (DE-588)4037968-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Operatortheorie |0 (DE-588)4075665-8 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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| adam_text | Contents
Preface vii
Part I. Engineering motivation
1. Engineering background 3
What is the transfer function how analytic functions arise in
engineering-connect ion laws.
2. Engineering problems 11
Engineering problems (vs. analysis); a control paradigm.
Part II. Analytic function theory
How much classical analysis can you get by staring at pairs of
invariant subspaces? There is a unified way of obtaining the
theories of classical interpolation. //°° approximation. Corona
= Bezout identities, commutant lifting. Wiener-Hopf factoriza¬
tion, integrable systems (Toda Lattice. KdY). matrix LI* de¬
compositions, interpolation, upper triangular approximation.
The method gives excellent results when all functions induced
are differentiable and in these cases frequently extends existing
results in various ways. e.g.. treats added symmetries, allows
poles in Hx functions.
3. Fractional maps and Grassmannians 21
Basic projective lore. The correspondences between linear frac¬
tional actions on operators and linear actions on subspares.
4. Representing shift invariant subspaces 35
5. Applications to factorization, interpolation, and
approximation 13
6. Further applications 57
7. Matrix analogs and generalizations 73
A general theory which contains both the matrix and analytic
function case.
V
vi CONTENTS
Part III. Matrices
The distance of a matrix to a matrix subspace, the spectrum
of a matrix with respect to an algebra of matrices, and other
matrix stories.
8. Some matrix problems in engineering 89
Engineering problems (vs. matrices).
9. Optimization, matrix inequalities, and matrix completions 95
Matrix optimization and completion problems.
10. The spectrum of a matrix with respect to an algebra 109
A matrix spectrum.
Part IV. The general H°° optimization problem
11. Nonlinear H°° optimization 121
Qualitative theory and a few words about quantitative methods.
Bibliography 125
|
| any_adam_object | 1 |
| author | Helton, J. William 1944- |
| author_GND | (DE-588)132893320 |
| author_facet | Helton, J. William 1944- |
| author_role | aut |
| author_sort | Helton, J. William 1944- |
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| building | Verbundindex |
| bvnumber | BV003656268 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA321 |
| callnumber-search | QA321 |
| callnumber-sort | QA 3321 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 950 SI 195 |
| classification_tum | MAT 470f ELT 030f MAT 150f MAT 300f |
| ctrlnum | (OCoLC)15489589 (DE-599)BVBBV003656268 |
| dewey-full | 510 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515.7 |
| dewey-search | 510 515.7 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Elektrotechnik Mathematik |
| format | Book |
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| id | DE-604.BV003656268 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:03:24Z |
| institution | BVB |
| isbn | 0821807188 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002328291 |
| oclc_num | 15489589 |
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| physical | xiv, 134 Seiten Illustrationen |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | American Mathematical Society |
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| series | Regional conference series in mathematics |
| series2 | Regional conference series in mathematics |
| spelling | Helton, J. William 1944- Verfasser (DE-588)132893320 aut Operator theory, analytic functions, matrices, and electrical engineering [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] J. William Helton with the assistance of Joseph A. Ball, Charles R. Johnson, and John N. Palmer Providence, R.I. American Mathematical Society [1987] c 1987 xiv, 134 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Regional conference series in mathematics number 68 Analyse fonctionnelle Matrices Opérateurs, Théorie des Functional analysis Operator theory Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Matrizenrechnung (DE-588)4126963-9 s DE-604 Operatortheorie (DE-588)4075665-8 s Funktionalanalysis (DE-588)4018916-8 s Matrix Mathematik (DE-588)4037968-1 s Analytische Funktion (DE-588)4142348-3 s Regional conference series in mathematics 68 (DE-604)BV000004346 68 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002328291&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Helton, J. William 1944- Operator theory, analytic functions, matrices, and electrical engineering [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] Regional conference series in mathematics Analyse fonctionnelle Matrices Opérateurs, Théorie des Functional analysis Operator theory Analytische Funktion (DE-588)4142348-3 gnd Matrix Mathematik (DE-588)4037968-1 gnd Operatortheorie (DE-588)4075665-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
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| title | Operator theory, analytic functions, matrices, and electrical engineering [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] |
| title_auth | Operator theory, analytic functions, matrices, and electrical engineering [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] |
| title_exact_search | Operator theory, analytic functions, matrices, and electrical engineering [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] |
| title_full | Operator theory, analytic functions, matrices, and electrical engineering [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] J. William Helton with the assistance of Joseph A. Ball, Charles R. Johnson, and John N. Palmer |
| title_fullStr | Operator theory, analytic functions, matrices, and electrical engineering [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] J. William Helton with the assistance of Joseph A. Ball, Charles R. Johnson, and John N. Palmer |
| title_full_unstemmed | Operator theory, analytic functions, matrices, and electrical engineering [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] J. William Helton with the assistance of Joseph A. Ball, Charles R. Johnson, and John N. Palmer |
| title_short | Operator theory, analytic functions, matrices, and electrical engineering |
| title_sort | operator theory analytic functions matrices and electrical engineering expository lectures from the cbms regional conference held at lincoln nebraska august 1985 |
| title_sub | [expository lectures from the CBMS regional conference held at Lincoln, Nebraska, August 1985] |
| topic | Analyse fonctionnelle Matrices Opérateurs, Théorie des Functional analysis Operator theory Analytische Funktion (DE-588)4142348-3 gnd Matrix Mathematik (DE-588)4037968-1 gnd Operatortheorie (DE-588)4075665-8 gnd Funktionalanalysis (DE-588)4018916-8 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
| topic_facet | Analyse fonctionnelle Matrices Opérateurs, Théorie des Functional analysis Operator theory Analytische Funktion Matrix Mathematik Operatortheorie Funktionalanalysis Matrizenrechnung Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002328291&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004346 |
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