Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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Np-SPACES

  • Kim, Yun-Su (Department of Mathematics The University of Toledo)
  • Received : 2010.06.15
  • Published : 2011.09.01
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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 < ${\infty}$.

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References

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