Semi chaotic operators on Banach spaces

We introduce and study a weaker form of Devaney chaotic operators on Banach spaces, which we call semi chaotic operators. We show that semi chaotic operators exist on every finite dimensional Hilbert spaces. We give a semi chaotic criterion “a sufficient condition for semi chaotic operators”, we use...

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Main Authors: Bamerni, Nareen, Kilicman, Adem
Format: Article
Language:English
Published: Elsevier 2016
Online Access:http://psasir.upm.edu.my/id/eprint/53793/
http://psasir.upm.edu.my/id/eprint/53793/1/Semi%20chaotic%20operators%20on%20Banach%20spaces.pdf
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author Bamerni, Nareen
Kilicman, Adem
author_facet Bamerni, Nareen
Kilicman, Adem
author_sort Bamerni, Nareen
building UPM Institutional Repository
collection Online Access
description We introduce and study a weaker form of Devaney chaotic operators on Banach spaces, which we call semi chaotic operators. We show that semi chaotic operators exist on every finite dimensional Hilbert spaces. We give a semi chaotic criterion “a sufficient condition for semi chaotic operators”, we use this criterion to characterize all semi chaotic weighted shifts on ℓp(N) and ℓp (Z) in terms of their weight sequences.
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spelling upm-537932018-02-01T10:08:43Z http://psasir.upm.edu.my/id/eprint/53793/ Semi chaotic operators on Banach spaces Bamerni, Nareen Kilicman, Adem We introduce and study a weaker form of Devaney chaotic operators on Banach spaces, which we call semi chaotic operators. We show that semi chaotic operators exist on every finite dimensional Hilbert spaces. We give a semi chaotic criterion “a sufficient condition for semi chaotic operators”, we use this criterion to characterize all semi chaotic weighted shifts on ℓp(N) and ℓp (Z) in terms of their weight sequences. Elsevier 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/53793/1/Semi%20chaotic%20operators%20on%20Banach%20spaces.pdf Bamerni, Nareen and Kilicman, Adem (2016) Semi chaotic operators on Banach spaces. Expositiones Mathematicae, 34 (4). pp. 467-474. ISSN 0723-0869; ESSN: 1878-0792 https://www.sciencedirect.com/science/article/pii/S0723086916300329 10.1016/j.exmath.2016.06.002
spellingShingle Bamerni, Nareen
Kilicman, Adem
Semi chaotic operators on Banach spaces
title Semi chaotic operators on Banach spaces
title_full Semi chaotic operators on Banach spaces
title_fullStr Semi chaotic operators on Banach spaces
title_full_unstemmed Semi chaotic operators on Banach spaces
title_short Semi chaotic operators on Banach spaces
title_sort semi chaotic operators on banach spaces
url http://psasir.upm.edu.my/id/eprint/53793/
http://psasir.upm.edu.my/id/eprint/53793/
http://psasir.upm.edu.my/id/eprint/53793/
http://psasir.upm.edu.my/id/eprint/53793/1/Semi%20chaotic%20operators%20on%20Banach%20spaces.pdf