Open AccessProduct-Normed Linear Spaces
Author(s) -
Belinda Barnes,
Isaac Akpor Adjei,
S. K. Amponsah,
Eric Harris
Publication year - 2018
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v11i3.3284
Subject(s) - mathematics , normed vector space , banach space , product (mathematics) , inner product space , continuous linear operator , normed algebra , product topology , completeness (order theory) , pure mathematics , linear form , space (punctuation) , linear space , discrete mathematics , algebra over a field , mathematical analysis , division algebra , filtered algebra , linguistics , philosophy , geometry
In this paper, both the product-normed linear space $P-NLS$ (product-Banach space) and product-semi-normed linear space (product-semi-Banch space) are introduced. These normed linear spaces are endowed with the first and second product inequalities, which have a lot of applications in linear algebra and differential equations. In addition, we showed that $P-NLS$ admits functional properties such as completeness, continuity and the fixed point.