Geodesic
$n$-inner product spaces and projections
Mathematica Bohemica, Tome 125 (2000) no. 1, pp. 87-97
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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.
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.
DOI : 10.21136/MB.2000.126265
Classification : 46C05, 46C50
Keywords: $n$-inner product space; $n$-normed space; $n$-norm of projection 
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Misiak, Aleksander; Ryż, Alicja. $n$-inner product spaces and projections. Mathematica Bohemica, Tome 125 (2000) no. 1, pp. 87-97. doi: 10.21136/MB.2000.126265

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