N^p Spaces

Yun-Su Kim

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arXiv · 0705.0625

N^p Spaces

Yun-Su Kim

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Abstract

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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BibTeX RIS

Yun-Su Kim. 2007-05-07. N^p Spaces. https://arxiv.org/abs/0705.0625

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