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Strictly Convex Linear 2-Normed Spaces

✍ Scribed by Ki Sik Ha; Yeol Je Cho; Seong Sik Kim; M. S. Khan

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
499 KB
Volume
146
Category
Article
ISSN
0025-584X

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✦ Synopsis

I n this paper, we give several new characterizations of 2-inner product spaces and strict convexity for linear 8-normed spaces in terms of orthogonalites and 2-semi-inner product spaces

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## Abstract A triple (__x, y, z__) in a linear 2‐normed space (__X__, β€–.,.β€–) is called an __isosceles orthogonal triple__, denoted |(__x, y, z__), if |(.,.,.) is said to be __homogeneous__ if |(__x, y, z__) implies |(__ax, y, z__) for all real __a__ and it is __additive__ if |(__x~1~__, __y, z__)

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