An introduction to Rota’s universal operators: properties, old and new examples and future issues
The Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal operators in the sense of Rota has been an important tool for studying such important problem. In this survey, we focus on Rota’s universal operators, pointing out their main properties and exhibit...
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De Gruyter
2016-04-01
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| Series: | Concrete Operators |
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| Online Access: | http://www.degruyter.com/view/j/conop.2016.3.issue-1/conop-2016-0006/conop-2016-0006.xml?format=INT |
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doaj-4fc8410efa704a43a6c36646180ecef92020-11-25T01:01:09ZengDe GruyterConcrete Operators2299-32822016-04-0131435110.1515/conop-2016-0006conop-2016-0006An introduction to Rota’s universal operators: properties, old and new examples and future issuesCowen Carl C.0Gallardo-Gutiérrez Eva A.1Indiana University-Purdue University Indianapolis, USADepartamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid e ICMAT, Plaza de Ciencias 3, 28040, Madrid, SpainThe Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal operators in the sense of Rota has been an important tool for studying such important problem. In this survey, we focus on Rota’s universal operators, pointing out their main properties and exhibiting some old and recent examples.http://www.degruyter.com/view/j/conop.2016.3.issue-1/conop-2016-0006/conop-2016-0006.xml?format=INTRota’s universal operators Invariant subspace Analytic Toeplitz operatorLomonosov’s Theorem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cowen Carl C. Gallardo-Gutiérrez Eva A. |
| spellingShingle |
Cowen Carl C. Gallardo-Gutiérrez Eva A. An introduction to Rota’s universal operators: properties, old and new examples and future issues Concrete Operators Rota’s universal operators Invariant subspace Analytic Toeplitz operator Lomonosov’s Theorem |
| author_facet |
Cowen Carl C. Gallardo-Gutiérrez Eva A. |
| author_sort |
Cowen Carl C. |
| title |
An introduction to Rota’s universal operators: properties, old and new examples and future issues |
| title_short |
An introduction to Rota’s universal operators: properties, old and new examples and future issues |
| title_full |
An introduction to Rota’s universal operators: properties, old and new examples and future issues |
| title_fullStr |
An introduction to Rota’s universal operators: properties, old and new examples and future issues |
| title_full_unstemmed |
An introduction to Rota’s universal operators: properties, old and new examples and future issues |
| title_sort |
introduction to rota’s universal operators: properties, old and new examples and future issues |
| publisher |
De Gruyter |
| series |
Concrete Operators |
| issn |
2299-3282 |
| publishDate |
2016-04-01 |
| description |
The Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal
operators in the sense of Rota has been an important tool for studying such important problem. In this survey, we
focus on Rota’s universal operators, pointing out their main properties and exhibiting some old and recent examples. |
| topic |
Rota’s universal operators Invariant subspace Analytic Toeplitz operator Lomonosov’s Theorem |
| url |
http://www.degruyter.com/view/j/conop.2016.3.issue-1/conop-2016-0006/conop-2016-0006.xml?format=INT |
| work_keys_str_mv |
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