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.
@article{bwmeta1.element.doi-10_1515_conop-2016-0006,
author = {Carl C. Cowen and Eva A. Gallardo-Guti\'errez},
title = {An introduction to Rota's universal operators: properties, old and new examples and future issues},
journal = {Concrete Operators},
volume = {3},
year = {2016},
pages = {43-51},
zbl = {1344.47003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_conop-2016-0006}
}
Carl C. Cowen; Eva A. Gallardo-Gutiérrez. An introduction to Rota’s universal operators: properties, old and new examples and future issues. Concrete Operators, Tome 3 (2016) pp. 43-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_conop-2016-0006/
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