$n$-inner product spaces and projections

Misiak, Aleksander, and Ryż, Alicja. "$n$-inner product spaces and projections." Mathematica Bohemica 125.1 (2000): 87-97. <http://eudml.org/doc/248668>.

@article{Misiak2000,
abstract = {This paper is a continuation of investigations of $n$-inner product spaces given in [five, six, seven] and an extension of results given in [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.},
author = {Misiak, Aleksander, Ryż, Alicja},
journal = {Mathematica Bohemica},
keywords = {$n$-inner product space; $n$-normed space; $n$-norm of projection; -inner product space; -normed space; -norm of projection},
language = {eng},
number = {1},
pages = {87-97},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$n$-inner product spaces and projections},
url = {http://eudml.org/doc/248668},
volume = {125},
year = {2000},
}

TY - JOUR
AU - Misiak, Aleksander
AU - Ryż, Alicja
TI - $n$-inner product spaces and projections
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 1
SP - 87
EP - 97
AB - This paper is a continuation of investigations of $n$-inner product spaces given in [five, six, seven] and an extension of results given in [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.
LA - eng
KW - $n$-inner product space; $n$-normed space; $n$-norm of projection; -inner product space; -normed space; -norm of projection
UR - http://eudml.org/doc/248668
ER -