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Numerical Radius Norms on Operator Spaces
Abstract. We introduce a numerical radius operator space (X,Wn). The conditions to be a numerical radius operator space are weaker than the Ruan’s axiom for an operator space (X,On). Let w(·) be the numerical radius norm on B(H). It is shown that if X admits a norm Wn(·) on the matrix space Mn(X) which satisfies the conditions, then there is a complete isometry, in the sense of the norms Wn(·) ...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2006
ISSN: 0024-6107,1469-7750
DOI: 10.1112/s0024610706022794