Journal of Mathematics and Applications
05/42, DOI: 10.7862/rf.2019.5
A Generalization of the Hahn-Banach Theorem in Seminormed Quasilinear Spaces
Sümeyye Çakan, Yılmaz Yılmaz
DOI: 10.7862/rf.2019.5
Abstract
The concept of normed quasilinear spaces which is a generalization of normed linear spaces gives us a new opportunity to study with a similar approach to classical functional analysis. In this study, we introduce the notion of seminormed quasilinear space as a generalization of normed quasilinear spaces and give various auxiliary results and examples. We present an analog of Hahn-Banach theorem, in seminormed quasilinear spaces.
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About this Article
TITLE:
A Generalization of the Hahn-Banach Theorem in Seminormed Quasilinear Spaces
AUTHORS:
Sümeyye Çakan (1)
Yılmaz Yılmaz (2)
AUTHORS AFFILIATIONS:
(1) İnönü University, TURKEY
(2) İnönü University, TURKEY
JOURNAL:
Journal of Mathematics and Applications
05/42
KEY WORDS AND PHRASES:
Quasilinear spaces; Normed quasilinear spaces; Seminormed quasilinear spaces; Semimetrizable quasilinear spaces; Hahn-Banach theorem.
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/82
DOI:
10.7862/rf.2019.5
URL:
http://dx.doi.org/10.7862/rf.2019.5
RECEIVED:
2018-11-14
ACCEPTED:
2019-03-26
COPYRIGHT:
Oficyna Wydawnicza Politechniki Rzeszowskiej, al. Powstańców Warszawy 12, 35-959 Rzeszów