N^p Spaces

Details N^p Spaces N^p Spaces

2007-05-04

arxiv.org/abs/0705.0625v2

Mathematics

Operator Algebras

9 pages

Scientific paper

We introduce a new norm, called $N^{p}$-norm $(1\leq{p}<\infty)$ on a space
$N^{p}(V,W)$ where $V$ and $W$ are abstract operator spaces. By proving some
fundamental properties of the space $N^{p}(V,W)$, we also obtain that if $W$ is
complete, then the space $N^{p}(V,W)$ is also a Banach space with respect to
this norm for $1\leq{p}<\infty$.

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