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Operator-Valued Norms
We introduce two kinds of operator-valued norms. One of them is an
-valued norm. The other one is an -valued norm. We characterize
the completeness with respect to a bounded -valued norm. Furthermore, for
a given Banach space , we provide an -valued norm on
. and we introduce an -valued norm on a Banach space
satisfying special properties.Comment: 8 page
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