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 Best approximations and orthogonalities in $2k$-inner product spaces Bull. Korean Math. Soc. 2006 Vol. 43, No. 2, 377-387 Published online June 1, 2006 Seong Sik Kim and Mircea Cramareanu Dongeui University, University Al. I. Cuza Abstract : In this paper, some characterizations of representation for continuous linear functionals on $2k$-inner product spaces in terms of best approximations and orthogonalities are given. Keywords : $2k$-inner product, $2k$-normed space, $2k$-orthogonality, best approximation, proximinal set MSC numbers : 26D15, 26D99, 46B15, 46B20 Downloads: Full-text PDF