N P -spaces
نویسنده
چکیده
For abstract operator spaces V and W , a linear map φ : V → W provides another linear map φn : Mn(A) → Mn(B) defined by φn((ai,j)) = (φ(ai,j)) where n = 1, 2, ···. If a sequence {‖φn‖} ∞ n=1 belongs to l , then φ is said to be a completely bounded map. W. Stinespring [7] and W. Arveson [1] started operator space theory related to complete boundedness for a map φ : S → B(K) where S ⊂ B(H) and H and K are Hilbert spaces, and it appeared in the 1980s through works of G. Wittstock [8, 9] and V. Paulsen [2].
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