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http://dx.doi.org/10.4134/JKMS.2011.48.5.1043

Np-SPACES  

Kim, Yun-Su (Department of Mathematics The University of Toledo)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 1043-1052 More about this Journal
Abstract
We introduce a new norm, called the $N^p$-norm (1 $\leq$ p < ${\infty}$ on the 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 discover 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 < ${\infty}$.
Keywords
completely bounded maps; Np-spaces; Np-norm; operator spaces;
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