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Universality and chaos for tensor products of operators

✍ Scribed by Félix Martı́nez-Giménez; Alfredo Peris

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
229 KB
Volume
124
Category
Article
ISSN
0021-9045

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✦ Synopsis

We give sufficient conditions for the universality of tensor products fT n f # #R n : nANg of sequences of operators defined on Fre´chet spaces. In particular we study when the tensor product T f # #R of two operators is chaotic in the sense of Devaney. Applications are given for natural operators on function spaces of several variables, in Infinite Holomorphy, and for multiplication operators on the algebra LðEÞ following the study of Kit Chan.

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