Tensor Characterizations of Summing Polynomials
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: Mediterranean Journal of Mathematics
سال: 2018
ISSN: 1660-5446,1660-5454
DOI: 10.1007/s00009-018-1175-z