Aleksander Misiak, Alicja Ryz, Instytut Matematyki, Politechnika Szczecinska, Al. Piastow 17, 70-310 Szczecin, Poland
Abstract: This paper is a continuation of investigations of $n$-inner product spaces given in \cite{five,six,seven} and an extension of results given in \cite{three} to arbitrary natural $n$. It concerns families of projections of a given linear space $L$ onto its $n$-dimensional subspaces and shows that between these families and $n$-inner products there exist interesting close relations.
Keywords: $n$-inner product space, $n$-normed space, $n$-norm of projection
Classification (MSC 1991): 46C05, 46C50
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