An Introduction to Models and Decompositions in Operator Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1997
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | By a Hilbert-space operator we mean a bounded linear transformation be tween separable complex Hilbert spaces. Decompositions and models for Hilbert-space operators have been very active research topics in operator theory over the past three decades. The main motivation behind them is the in variant subspace problem: does every Hilbert-space operator have a nontrivial invariant subspace? This is perhaps the most celebrated open question in op erator theory. Its relevance is easy to explain: normal operators have invariant subspaces (witness: the Spectral Theorem), as well as operators on finite dimensional Hilbert spaces (witness: canonical Jordan form). If one agrees that each of these (i. e. the Spectral Theorem and canonical Jordan form) is important enough an achievement to dismiss any further justification, then the search for nontrivial invariant subspaces is a natural one; and a recalcitrant one at that. Subnormal operators have nontrivial invariant subspaces (extending the normal branch), as well as compact operators (extending the finite-dimensional branch), but the question remains unanswered even for equally simple (i. e. simple to define) particular classes of Hilbert-space operators (examples: hyponormal and quasinilpotent operators). Yet the invariant subspace quest has certainly not been a failure at all, even though far from being settled. The search for nontrivial invariant subspaces has undoubtly yielded a lot of nice results in operator theory, among them, those concerning decompositions and models for Hilbert-space operators. This book contains nine chapters |
| Beschreibung: | 1 Online-Ressource (XII, 132 p) |
| ISBN: | 9781461219989 9781461273745 |
| DOI: | 10.1007/978-1-4612-1998-9 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042419953 | ||
| 003 | DE-604 | ||
| 005 | 20160304 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1997 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461219989 |c Online |9 978-1-4612-1998-9 | ||
| 020 | |a 9781461273745 |c Print |9 978-1-4612-7374-5 | ||
| 024 | 7 | |a 10.1007/978-1-4612-1998-9 |2 doi | |
| 035 | |a (OCoLC)863719631 | ||
| 035 | |a (DE-599)BVBBV042419953 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 515.724 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Kubrusly, Carlos S. |d 1947- |e Verfasser |0 (DE-588)173093426 |4 aut | |
| 245 | 1 | 0 | |a An Introduction to Models and Decompositions in Operator Theory |c by Carlos S. Kubrusly |
| 264 | 1 | |a Boston, MA |b Birkhäuser Boston |c 1997 | |
| 300 | |a 1 Online-Ressource (XII, 132 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a By a Hilbert-space operator we mean a bounded linear transformation be tween separable complex Hilbert spaces. Decompositions and models for Hilbert-space operators have been very active research topics in operator theory over the past three decades. The main motivation behind them is the in variant subspace problem: does every Hilbert-space operator have a nontrivial invariant subspace? This is perhaps the most celebrated open question in op erator theory. Its relevance is easy to explain: normal operators have invariant subspaces (witness: the Spectral Theorem), as well as operators on finite dimensional Hilbert spaces (witness: canonical Jordan form). If one agrees that each of these (i. e. the Spectral Theorem and canonical Jordan form) is important enough an achievement to dismiss any further justification, then the search for nontrivial invariant subspaces is a natural one; and a recalcitrant one at that. Subnormal operators have nontrivial invariant subspaces (extending the normal branch), as well as compact operators (extending the finite-dimensional branch), but the question remains unanswered even for equally simple (i. e. simple to define) particular classes of Hilbert-space operators (examples: hyponormal and quasinilpotent operators). Yet the invariant subspace quest has certainly not been a failure at all, even though far from being settled. The search for nontrivial invariant subspaces has undoubtly yielded a lot of nice results in operator theory, among them, those concerning decompositions and models for Hilbert-space operators. This book contains nine chapters | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Operator theory | |
| 650 | 4 | |a Operator Theory | |
| 650 | 4 | |a Mathematical Modeling and Industrial Mathematics | |
| 650 | 4 | |a Applications of Mathematics | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Hilbert-Raum |0 (DE-588)4159850-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Linearer Operator |0 (DE-588)4167721-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Hilbert-Raum |0 (DE-588)4159850-7 |D s |
| 689 | 0 | 1 | |a Linearer Operator |0 (DE-588)4167721-3 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-1998-9 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027855370 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153091221618688 |
|---|---|
| any_adam_object | |
| author | Kubrusly, Carlos S. 1947- |
| author_GND | (DE-588)173093426 |
| author_facet | Kubrusly, Carlos S. 1947- |
| author_role | aut |
| author_sort | Kubrusly, Carlos S. 1947- |
| author_variant | c s k cs csk |
| building | Verbundindex |
| bvnumber | BV042419953 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863719631 (DE-599)BVBBV042419953 |
| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.724 |
| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1998-9 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03354nmm a2200493zc 4500</leader><controlfield tag="001">BV042419953</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160304 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1997 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461219989</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-1998-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461273745</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4612-7374-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-1998-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863719631</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042419953</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.724</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kubrusly, Carlos S.</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)173093426</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An Introduction to Models and Decompositions in Operator Theory</subfield><subfield code="c">by Carlos S. Kubrusly</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Birkhäuser Boston</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 132 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">By a Hilbert-space operator we mean a bounded linear transformation be tween separable complex Hilbert spaces. Decompositions and models for Hilbert-space operators have been very active research topics in operator theory over the past three decades. The main motivation behind them is the in variant subspace problem: does every Hilbert-space operator have a nontrivial invariant subspace? This is perhaps the most celebrated open question in op erator theory. Its relevance is easy to explain: normal operators have invariant subspaces (witness: the Spectral Theorem), as well as operators on finite dimensional Hilbert spaces (witness: canonical Jordan form). If one agrees that each of these (i. e. the Spectral Theorem and canonical Jordan form) is important enough an achievement to dismiss any further justification, then the search for nontrivial invariant subspaces is a natural one; and a recalcitrant one at that. Subnormal operators have nontrivial invariant subspaces (extending the normal branch), as well as compact operators (extending the finite-dimensional branch), but the question remains unanswered even for equally simple (i. e. simple to define) particular classes of Hilbert-space operators (examples: hyponormal and quasinilpotent operators). Yet the invariant subspace quest has certainly not been a failure at all, even though far from being settled. The search for nontrivial invariant subspaces has undoubtly yielded a lot of nice results in operator theory, among them, those concerning decompositions and models for Hilbert-space operators. This book contains nine chapters</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Modeling and Industrial Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Applications of Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hilbert-Raum</subfield><subfield code="0">(DE-588)4159850-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Hilbert-Raum</subfield><subfield code="0">(DE-588)4159850-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-1998-9</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855370</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042419953 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461219989 9781461273745 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855370 |
| oclc_num | 863719631 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 132 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| spelling | Kubrusly, Carlos S. 1947- Verfasser (DE-588)173093426 aut An Introduction to Models and Decompositions in Operator Theory by Carlos S. Kubrusly Boston, MA Birkhäuser Boston 1997 1 Online-Ressource (XII, 132 p) txt rdacontent c rdamedia cr rdacarrier By a Hilbert-space operator we mean a bounded linear transformation be tween separable complex Hilbert spaces. Decompositions and models for Hilbert-space operators have been very active research topics in operator theory over the past three decades. The main motivation behind them is the in variant subspace problem: does every Hilbert-space operator have a nontrivial invariant subspace? This is perhaps the most celebrated open question in op erator theory. Its relevance is easy to explain: normal operators have invariant subspaces (witness: the Spectral Theorem), as well as operators on finite dimensional Hilbert spaces (witness: canonical Jordan form). If one agrees that each of these (i. e. the Spectral Theorem and canonical Jordan form) is important enough an achievement to dismiss any further justification, then the search for nontrivial invariant subspaces is a natural one; and a recalcitrant one at that. Subnormal operators have nontrivial invariant subspaces (extending the normal branch), as well as compact operators (extending the finite-dimensional branch), but the question remains unanswered even for equally simple (i. e. simple to define) particular classes of Hilbert-space operators (examples: hyponormal and quasinilpotent operators). Yet the invariant subspace quest has certainly not been a failure at all, even though far from being settled. The search for nontrivial invariant subspaces has undoubtly yielded a lot of nice results in operator theory, among them, those concerning decompositions and models for Hilbert-space operators. This book contains nine chapters Mathematics Operator theory Operator Theory Mathematical Modeling and Industrial Mathematics Applications of Mathematics Mathematik Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 s Linearer Operator (DE-588)4167721-3 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-1998-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kubrusly, Carlos S. 1947- An Introduction to Models and Decompositions in Operator Theory Mathematics Operator theory Operator Theory Mathematical Modeling and Industrial Mathematics Applications of Mathematics Mathematik Hilbert-Raum (DE-588)4159850-7 gnd Linearer Operator (DE-588)4167721-3 gnd |
| subject_GND | (DE-588)4159850-7 (DE-588)4167721-3 |
| title | An Introduction to Models and Decompositions in Operator Theory |
| title_auth | An Introduction to Models and Decompositions in Operator Theory |
| title_exact_search | An Introduction to Models and Decompositions in Operator Theory |
| title_full | An Introduction to Models and Decompositions in Operator Theory by Carlos S. Kubrusly |
| title_fullStr | An Introduction to Models and Decompositions in Operator Theory by Carlos S. Kubrusly |
| title_full_unstemmed | An Introduction to Models and Decompositions in Operator Theory by Carlos S. Kubrusly |
| title_short | An Introduction to Models and Decompositions in Operator Theory |
| title_sort | an introduction to models and decompositions in operator theory |
| topic | Mathematics Operator theory Operator Theory Mathematical Modeling and Industrial Mathematics Applications of Mathematics Mathematik Hilbert-Raum (DE-588)4159850-7 gnd Linearer Operator (DE-588)4167721-3 gnd |
| topic_facet | Mathematics Operator theory Operator Theory Mathematical Modeling and Industrial Mathematics Applications of Mathematics Mathematik Hilbert-Raum Linearer Operator |
| url | https://doi.org/10.1007/978-1-4612-1998-9 |
| work_keys_str_mv | AT kubruslycarloss anintroductiontomodelsanddecompositionsinoperatortheory |