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

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Atıf İçin Kopyala

Cancan M.

FIXED POINT THEORY AND APPLICATIONS, 2011 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası:
• Basım Tarihi: 2011
• Doi Numarası: 10.1186/1687-1812-2011-48
• Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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 B - M 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.