9th Annual International Conference on Industrial Engineering and Operations Management

The Completeness of p-Summable Sequences as 2-Normed Spaces

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Track: Decision Sciences
Abstract

The norm space is the pairs of  vector space with defined norm in the vector space. An example of vector space is lp. Vector space lp is a space that contains all real number sequences that satisfy the sums of all elements in lp normed space. Furthermore at lp can be defined as a norm-2 ||.,.||p, that is equal to the sum of all 2 dimensional matrix determinant in norms in lp, such that (lp,||.,.||p) is a 2-normed space. Result of this study is seeking at the completeness of 2-normed space (lp,||.,.||p) by utilizing the completeness of norm space (lp,||.||p).

Published in: 9th Annual International Conference on Industrial Engineering and Operations Management, Bangkok, Thailand

Publisher: IEOM Society International
Date of Conference: March 5-7, 2019

ISBN: 978-1-5323-5948-4
ISSN/E-ISSN: 2169-8767