Saved in:
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2020
|
| Series: | Cambridge tracts in mathematics
219 |
| Links: | https://doi.org/10.1017/9781108751292 |
| Summary: | This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices. |
| Physical Description: | 1 Online-Ressource (xv, 375 Seiten) |
| ISBN: | 9781108751292 |
Staff View
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781108751292 | ||
| 003 | UkCbUP | ||
| 005 | 20200309102410.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 181210s2020||||enk o ||1 0|eng|d | ||
| 020 | |a 9781108751292 | ||
| 100 | 1 | |a Agler, Jim | |
| 245 | 1 | 0 | |a Operator analysis |b Hilbert Space Methods in complex analysis |c Jim Agler, John Edward McCarthy, Nicholas Young |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2020 | |
| 300 | |a 1 Online-Ressource (xv, 375 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a Cambridge tracts in mathematics |v 219 | |
| 520 | |a This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices. | ||
| 700 | 1 | |a McCarthy, John E. |d 1964- | |
| 700 | 1 | |a Young, Nicholas | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781108485449 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/9781108751292 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Record in the Search Index
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781108751292 |
|---|---|
| _version_ | 1832177779831996416 |
| adam_text | |
| any_adam_object | |
| author | Agler, Jim |
| author2 | McCarthy, John E. 1964- Young, Nicholas |
| author2_role | |
| author2_variant | j e m je jem n y ny |
| author_facet | Agler, Jim McCarthy, John E. 1964- Young, Nicholas |
| author_role | |
| author_sort | Agler, Jim |
| author_variant | j a ja |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01816nam a2200277 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781108751292</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20200309102410.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">181210s2020||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108751292</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Agler, Jim</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Operator analysis</subfield><subfield code="b">Hilbert Space Methods in complex analysis</subfield><subfield code="c">Jim Agler, John Edward McCarthy, Nicholas Young</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2020</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xv, 375 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">219</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">McCarthy, John E.</subfield><subfield code="d">1964-</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Young, Nicholas</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781108485449</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/9781108751292</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781108751292 |
| illustrated | Not Illustrated |
| indexdate | 2025-05-15T09:21:31Z |
| institution | BVB |
| isbn | 9781108751292 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xv, 375 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Agler, Jim Operator analysis Hilbert Space Methods in complex analysis Jim Agler, John Edward McCarthy, Nicholas Young Cambridge Cambridge University Press 2020 1 Online-Ressource (xv, 375 Seiten) txt c cr Cambridge tracts in mathematics 219 This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathéodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices. McCarthy, John E. 1964- Young, Nicholas Erscheint auch als Druck-Ausgabe 9781108485449 |
| spellingShingle | Agler, Jim Operator analysis Hilbert Space Methods in complex analysis |
| title | Operator analysis Hilbert Space Methods in complex analysis |
| title_auth | Operator analysis Hilbert Space Methods in complex analysis |
| title_exact_search | Operator analysis Hilbert Space Methods in complex analysis |
| title_full | Operator analysis Hilbert Space Methods in complex analysis Jim Agler, John Edward McCarthy, Nicholas Young |
| title_fullStr | Operator analysis Hilbert Space Methods in complex analysis Jim Agler, John Edward McCarthy, Nicholas Young |
| title_full_unstemmed | Operator analysis Hilbert Space Methods in complex analysis Jim Agler, John Edward McCarthy, Nicholas Young |
| title_short | Operator analysis |
| title_sort | operator analysis hilbert space methods in complex analysis |
| title_sub | Hilbert Space Methods in complex analysis |
| work_keys_str_mv | AT aglerjim operatoranalysishilbertspacemethodsincomplexanalysis AT mccarthyjohne operatoranalysishilbertspacemethodsincomplexanalysis AT youngnicholas operatoranalysishilbertspacemethodsincomplexanalysis |