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

Carl C. Cowen; Eva A. Gallardo-Gutiérrez

Concrete Operators (2016)

- Volume: 3, Issue: 1, page 43-51
- ISSN: 2299-3282

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topCarl C. Cowen, and Eva A. Gallardo-Gutiérrez. "An introduction to Rota’s universal operators: properties, old and new examples and future issues." Concrete Operators 3.1 (2016): 43-51. <http://eudml.org/doc/277083>.

@article{CarlC2016,

abstract = {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.},

author = {Carl C. Cowen, Eva A. Gallardo-Gutiérrez},

journal = {Concrete Operators},

keywords = {Rota’s universal operators; Invariant subspace; Analytic Toeplitz operator; Lomonosov’s Theorem; Rota's universal operators; invariant subspace; analytic Toeplitz operator; Lomonosov's theorem},

language = {eng},

number = {1},

pages = {43-51},

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

url = {http://eudml.org/doc/277083},

volume = {3},

year = {2016},

}

TY - JOUR

AU - Carl C. Cowen

AU - Eva A. Gallardo-Gutiérrez

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

JO - Concrete Operators

PY - 2016

VL - 3

IS - 1

SP - 43

EP - 51

AB - 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.

LA - eng

KW - Rota’s universal operators; Invariant subspace; Analytic Toeplitz operator; Lomonosov’s Theorem; Rota's universal operators; invariant subspace; analytic Toeplitz operator; Lomonosov's theorem

UR - http://eudml.org/doc/277083

ER -

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