The associated tensor norm to (q,p)-absolutely summing operators on C(K)-Spaces
نویسندگان
چکیده
منابع مشابه
p-Summing Operators on Injective Tensor Products of Spaces
Let X, Y and Z be Banach spaces, and let ∏ p(Y, Z) (1 ≤ p < ∞) denote the space of p-summing operators from Y to Z. We show that, if X is a £∞-space, then a bounded linear operator T : X⊗̂ǫY −→ Z is 1-summing if and only if a naturally associated operator T : X −→ ∏ 1(Y, Z) is 1-summing. This result need not be true if X is not a £∞-space. For p > 1, several examples are given with X = C[0, 1] t...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1997
ISSN: 0011-4642,1572-9141
DOI: 10.1023/a:1022814517269