An introduction to Rota’s universal operators: properties, old and new examples and future issues

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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Bibliographic Details
Main Authors: Cowen Carl C., Gallardo-Gutiérrez Eva A.
Format: Article
Language:English
Published: De Gruyter 2016-04-01
Series:Concrete Operators
Subjects:
Rota’s universal operators
Invariant subspace
Analytic Toeplitz operator
Lomonosov’s Theorem
Online Access:http://www.degruyter.com/view/j/conop.2016.3.issue-1/conop-2016-0006/conop-2016-0006.xml?format=INT
Description
Summary: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.
ISSN:2299-3282

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