The aim of this paper is to introduce the concept of a quasi-Banach
space for the sequence space , p 0 p 1 . This concept is based on the
important extension of a quasi-normed space concept as defined in [3]. We
consider the space of sequence , p 0 p 1 and we prove this space is a
quasi-normed space but it is not normed space. Thus, we explore many
interesting results connected with convergent sequence in a quasi-normed
space. We show that, the quasi-normed space under which condition is a
complete quasi-normed space or a quasi Banach space. We also show that
every Banach space is a quasi Banach space and the converse is not true.
تاريخ النشر
16/05/2007
الناشر
JOURNAL OF COLLEGE OF EDUCATION-MATHEMATICS, AL-MUSTANSRIYAH UNIVERSITY
رحيم احمد منصور الصفوري | Raheam Ahmad Mansor Al-Saphory | 6226