Some results over thin--thick sets in cone locally convex spaces

Some results over thin--thick sets in cone locally convex spaces

<p>Abstract</p> <p>In this article, it is investigated some concepts of normed space like norming, thin-thick sets in cone locally convex spaces. It is also worked some impacts of thick sets over the uniform quasi-boundedness principles in cone locally convex spaces such that weak*...

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Main Author: Cancan Murat
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Subjects:
<it>B </it>- <it>M </it>space
cone locally convex space
norming set
thin-thick set
uniform quasi-boundedness principle
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/1/48
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spelling doaj-de48aad05da94f768abfb232954100122020-11-25T01:08:06ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-012011148Some results over thin--thick sets in cone locally convex spacesCancan Murat<p>Abstract</p> <p>In this article, it is investigated some concepts of normed space like norming, thin-thick sets in cone locally convex spaces. It is also worked some impacts of thick sets over the uniform quasi-boundedness principles in cone locally convex spaces such that weak*-bounded sets are strong*-bounded iff the space is a <it>B </it>- <it>M </it>space. It is demonstrated that these principles emerge under some weaker conditions with aim to thick sets. Moreover, it is displayed that the concept of thick is a duality invariant, that is, all suitable topologies for some cone locally convex space have the same thick sets.</p> http://www.fixedpointtheoryandapplications.com/content/2011/1/48<it>B </it>- <it>M </it>spacecone locally convex spacenorming setthin-thick setuniform quasi-boundedness principle
collection DOAJ
language English
format Article
sources DOAJ
author Cancan Murat
spellingShingle Cancan Murat
Some results over thin--thick sets in cone locally convex spaces
Fixed Point Theory and Applications
<it>B </it>- <it>M </it>space
cone locally convex space
norming set
thin-thick set
uniform quasi-boundedness principle
author_facet Cancan Murat
author_sort Cancan Murat
title Some results over thin--thick sets in cone locally convex spaces
title_short Some results over thin--thick sets in cone locally convex spaces
title_full Some results over thin--thick sets in cone locally convex spaces
title_fullStr Some results over thin--thick sets in cone locally convex spaces
title_full_unstemmed Some results over thin--thick sets in cone locally convex spaces
title_sort some results over thin--thick sets in cone locally convex spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2011-01-01
description <p>Abstract</p> <p>In this article, it is investigated some concepts of normed space like norming, thin-thick sets in cone locally convex spaces. It is also worked some impacts of thick sets over the uniform quasi-boundedness principles in cone locally convex spaces such that weak*-bounded sets are strong*-bounded iff the space is a <it>B </it>- <it>M </it>space. It is demonstrated that these principles emerge under some weaker conditions with aim to thick sets. Moreover, it is displayed that the concept of thick is a duality invariant, that is, all suitable topologies for some cone locally convex space have the same thick sets.</p>
topic <it>B </it>- <it>M </it>space
cone locally convex space
norming set
thin-thick set
uniform quasi-boundedness principle
url http://www.fixedpointtheoryandapplications.com/content/2011/1/48
work_keys_str_mv AT cancanmurat someresultsoverthinthicksetsinconelocallyconvexspaces
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