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Some isometric characterizations of ln∞
Published online by Cambridge University Press: 18 May 2009
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The previous results on isometrically characterizing ln∞ in terms of operator ideal norms can be summarized as follows.
Let E be an n-dimensional Banach space.
(1) If λ(E) = 1, then 
(see [3], [5], [6]), where λ(E) is the projection constant of E (see [4]).
(2) If π(E) = n, then (see [1],[2]).
(3) If Δ2(E) = √n, then (see [8]), where Δ2(E) is the 2-dominated constant of E(see [4]).
(4) If for any linear operator T: 
→ E, v1(T) = 
(T), then (see [7]), where v1 is the 1-nuclear norm (see [4]).
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- Copyright © Glasgow Mathematical Journal Trust 1992
References
REFERENCES
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