2015
DOI: 10.1007/s10587-015-0209-y
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Product spaces generated by bilinear maps and duality

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Cited by 6 publications
(2 citation statements)
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“…As we will see, the problem can be reduced sometimes to analyze the case of products defined on CpKq-spaces and integral representation of linear operators in such spaces, just by using the isomorphic representation of any Banach space F as a subspace of such a function space. A similar characterization was investigated in [25], but using as reference the projective tensor product instead of the injective one, obtaining also some duality formulas as the ones that will be shown here.…”
Section: Introductionmentioning
confidence: 77%
“…As we will see, the problem can be reduced sometimes to analyze the case of products defined on CpKq-spaces and integral representation of linear operators in such spaces, just by using the isomorphic representation of any Banach space F as a subspace of such a function space. A similar characterization was investigated in [25], but using as reference the projective tensor product instead of the injective one, obtaining also some duality formulas as the ones that will be shown here.…”
Section: Introductionmentioning
confidence: 77%
“…If the spaces X(µ) and Y(µ) satisfy adequate p-convexity requirements, the norm can be computed just by using single product decompositions instead of sums of such products. The reader can find all the information that is needed in ( [28], §2) and [26] (see also ([29], §2) for a slightly different definition and main properties, and in [30] for a general setting for the pointwise-type products of Banach spaces).…”
Section: (A) Decomposition Theorem (Product Theorem For Banach Spaces)mentioning
confidence: 99%