Distributionally chaotic translation semigroups
We study distributional chaos for the translation C 0 -semigroup on weighted L p -spaces. Some sufficient conditions for distributional chaos expressed in terms of the weight are given. Moreover, we establish a complete analogy between the study on distributional chaos for the translation C 0 -semig...
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Published in | Journal of difference equations and applications Vol. 18; no. 4; pp. 751 - 761 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis Group
01.04.2012
Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | We study distributional chaos for the translation C
0
-semigroup on weighted L
p
-spaces. Some sufficient conditions for distributional chaos expressed in terms of the weight are given. Moreover, we establish a complete analogy between the study on distributional chaos for the translation C
0
-semigroup and the corresponding one for backward shifts on weighted sequence spaces. |
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ISSN: | 1023-6198 1563-5120 |
DOI: | 10.1080/10236198.2011.625945 |