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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2013 Volume 93, Issue 4, Pages 549–554 (Mi mzm10170)
This article is cited in 14 papers

A Characterization of Inner Product Spaces Related to the Skew-Angular Distance

H. Dehghan

Institute for Advanced Studies in Basic Sciences

Abstract: A new refinement of the triangle inequality is presented in normed linear spaces. Moreover, a simple characterization of inner product spaces is obtained by using the skew-angular distance.

Keywords: triangle inequality, inner product space, angular distance, normed linear space, skew-angular distance.

UDC: 517

Received: 22.01.2011

DOI: 10.4213/mzm10170


 English version: Mathematical Notes, 2013, 93:4, 556–560

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© Steklov Math. Inst. of RAS, 2024