Higher order hyperexpansivity and higher order hypercontractivity
As a natural extension of the concept of $ (m, p) $-hyperexpansive and $ (m, p) $-hypercontractive of a single operator, we introduce and study the concepts of $ (m, p) $-hyperexpansivity and $ (m, p) $-hypercontractivity for $ d $-tuple of commuting operators acting on Banach spaces. These concepts...
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Format: | Article |
Language: | English |
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AIMS Press
2023-09-01
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Series: | AIMS Mathematics |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231393?viewType=HTML |
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author | Hadi Obaid Alshammari |
author_facet | Hadi Obaid Alshammari |
author_sort | Hadi Obaid Alshammari |
collection | DOAJ |
description | As a natural extension of the concept of $ (m, p) $-hyperexpansive and $ (m, p) $-hypercontractive of a single operator, we introduce and study the concepts of $ (m, p) $-hyperexpansivity and $ (m, p) $-hypercontractivity for $ d $-tuple of commuting operators acting on Banach spaces. These concepts extend the definitions of $ m $-isometries and $ (m, p) $-isometric tuples of bounded linear operators acting on Hilbert or Banach spaces, which have been introduced and studied by many authors. |
first_indexed | 2024-03-11T18:20:30Z |
format | Article |
id | doaj.art-d407f77340454a55ab279ed9b3382a04 |
institution | Directory Open Access Journal |
issn | 2473-6988 |
language | English |
last_indexed | 2024-03-11T18:20:30Z |
publishDate | 2023-09-01 |
publisher | AIMS Press |
record_format | Article |
series | AIMS Mathematics |
spelling | doaj.art-d407f77340454a55ab279ed9b3382a042023-10-16T01:25:20ZengAIMS PressAIMS Mathematics2473-69882023-09-01811272272724010.3934/math.20231393Higher order hyperexpansivity and higher order hypercontractivityHadi Obaid Alshammari0Mathematics Department, College of Science, Jouf University, Sakaka P.O. Box 2014, Saudi ArabiaAs a natural extension of the concept of $ (m, p) $-hyperexpansive and $ (m, p) $-hypercontractive of a single operator, we introduce and study the concepts of $ (m, p) $-hyperexpansivity and $ (m, p) $-hypercontractivity for $ d $-tuple of commuting operators acting on Banach spaces. These concepts extend the definitions of $ m $-isometries and $ (m, p) $-isometric tuples of bounded linear operators acting on Hilbert or Banach spaces, which have been introduced and studied by many authors.https://www.aimspress.com/article/doi/10.3934/math.20231393?viewType=HTMLm-isometric tuple(m,p)-isometric tupleexpansive operatorcontractive operator |
spellingShingle | Hadi Obaid Alshammari Higher order hyperexpansivity and higher order hypercontractivity AIMS Mathematics m-isometric tuple (m,p)-isometric tuple expansive operator contractive operator |
title | Higher order hyperexpansivity and higher order hypercontractivity |
title_full | Higher order hyperexpansivity and higher order hypercontractivity |
title_fullStr | Higher order hyperexpansivity and higher order hypercontractivity |
title_full_unstemmed | Higher order hyperexpansivity and higher order hypercontractivity |
title_short | Higher order hyperexpansivity and higher order hypercontractivity |
title_sort | higher order hyperexpansivity and higher order hypercontractivity |
topic | m-isometric tuple (m,p)-isometric tuple expansive operator contractive operator |
url | https://www.aimspress.com/article/doi/10.3934/math.20231393?viewType=HTML |
work_keys_str_mv | AT hadiobaidalshammari higherorderhyperexpansivityandhigherorderhypercontractivity |