Np-SPACES

Title & Authors
Np-SPACES
Kim, Yun-Su;

Abstract
We introduce a new norm, called the $\small{N^p}$-norm (1 $\small{\leq}$ p < $\small{{\infty}}$ on the space $\small{N^p}$(V,W) where V and W are abstract operator spaces. By proving some fundamental properties of the space $\small{N^p}$(V,W), we also discover that if W is complete, then the space $\small{N^p}$(V,W) is also a Banach space with respect to this norm for 1 $\small{\leq}$ p < $\small{{\infty}}$.
Keywords
completely bounded maps;Np-spaces;Np-norm;operator spaces;
Language
English
Cited by
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