Product-Normed Linear Spaces

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...

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Veröffentlicht in:	European journal of pure and applied mathematics 2018-07, Vol.11 (3), p.740-750
Hauptverfasser:	Barnes, Benedict, Adjei, I. A., Amponsah, S. K., Harris, E.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	1307-5543 1307-5543
DOI:	10.29020/nybg.ejpam.v11i3.3284