# Article

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Keywords:
\$n\$-inner product space; \$n\$-normed space; \$n\$-norm of projection
Summary:
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.
References:
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