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Chaotic Tensor Product Semigroups |
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| Authors: | Teresa Bermudez Antonio Bonilla Hassan Emamirad |
| Institution: | (1) Departamento de Analisis Matematico, Universidad de La Laguna, 38271 La Laguna (Tenerife), Spain;(2) Laboratoire de Mathematiques, Universite de Poitiers, teleport 2, BP 179, 86960 Futuroscope Cedex, France |
| Abstract: | Suppose {G1(t)}t ≥ 0 and {G2(t)t ≥ 0 be two semigroups on an infinite dimensional separable reflexive Banach space X. In this paper we give sufficient conditions for tensor product semigroup G(t): X → G2(t)X G1(t) to become chaotic in L with the strong operator topology and chaotic in the ideal of compact operators on X with the norm operator topology. |
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