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

• Autorzy: Carl C. Cowen , Eva A. Gallardo-Gutiérrez
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Rota’s universal operators; Invariant subspace; Analytic Toeplitz operator; Lomonosov’s Theorem

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2016
• Tom: 3
• Numer: 1
• Strony: 43-51

Daty

otrzymano

2015-12-03

zaakceptowano

2016-01-26

online

2016-04-14

Twórcy

autor

Carl C. Cowen

• Indiana University-Purdue University Indianapolis, USA

autor

Eva A. Gallardo-Gutiérrez

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid e ICMAT, Plaza de Ciencias 3, 28040, Madrid, Spain

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Identyfikatory

DOI

10.1515/conop-2016-0006