Orthogonality connected with integral means and characterizations of inner product spaces

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Dragomir, Sever S and Kikianty, Eder (2010) Orthogonality connected with integral means and characterizations of inner product spaces. Journal of Geometry, 98 (1-2). pp. 33-49. ISSN 0047-2468

Abstract

Kikianty and Dragomir (Math Inequal Appl 13:1–32, 2010) introduced the p−HH norms on the Cartesian square of a normed space, which are equivalent, but are geometrically different, to the well-known p-norms. In this paper, notions of orthogonality in terms of the 2 − HH norm are introduced; and their properties are studied. Some characterizations of inner product spaces are established, as well as a characterization of strictly convex spaces.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/7357
DOI	10.1007/s00022-010-0048-9
Official URL	http://link.springer.com/article/10.1007%2Fs00022-...
Subjects	Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0102 Applied Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords	ResPubID19802. orthogonal, orthographic, Pythagorean orthogonality, norms, p-norms, isosceles orthogonality, inner product space, strictly convex space, Cartesian product space
Citations in Scopus	7 - View on Scopus
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