Decomposition of 2-norms

  • Stela Ceno Department of Mathematics, Elbasan University, Albania
  • Gladiola Tigno Department of Mathematics, Elbasan University, Albania
Keywords: Asymmetric semi 2-norm, conjugate function of an asymmetric 2-norm, decomposition of a 2-norm.

Abstract

In this paper, after introducing the notion of asymmetric semi 2-norm and asymmetric 2-norm, we present the conjugate function of an asymmetric 2-norm. Then we give a decomposition of a 2-norm in two conjugated asymmetric 2-norms.

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References

R.J. Duffin and L.A. Karlovitz, Formulation of linear programs in anayisis. I. Ap-proximation theory, SIAM J. Appl. Math. 16 (1968), 662-675.

L.M. Garsia-Raffi, Compactness and finite dimension in asymmetric normed linear spaces, Topology Appl. 153 (2005), 844-853.

S.Cobzas. Functional on Asymmetric Normed Spaces. Springer Fronties in Mathematics, 2013. ISBN. 978-3-0348-0478-3.

R.W.Freese and Y.I.Cho, Geometry of Linear 2-normed Spaces, 2001

J.M.Hernandez, C.H.Castaneda, L.C. Alvarez, V.Tochihuitl and R.Vazquez, Decomposition of metrics and norms, GJMMS, ISSN 0972-9836, Vol.6, Nr. 1 (2016), pp.1-9.

Published
2017-02-23
How to Cite
Ceno, S., & Tigno, G. (2017). Decomposition of 2-norms. Journal of Progressive Research in Mathematics, 11(2), 1600-1603. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/1033
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Articles