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- W2002738520 abstract "If X is a Banach space with a normalized unconditional Schauder basis ( x n ) , we define μ X , ( x n ) = inf { t ; ( a j ) ∈ ℓ t whenever x = ∑ j = 1 ∞ a j x j ∈ X } and obtain estimates for μ X , ( x n ) when every continuous m -homogeneous polynomial from X into Y is absolutely ( q , 1 ) summing. Our results provide new information on coincidence situations between the space of absolutely summing m -homogeneous polynomials and the whole space of continuous m -homogeneous polynomials. In particular, when m = 1 , we obtain new contributions to the linear theory of absolutely summing operators." @default.
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- W2002738520 date "2006-09-01" @default.
- W2002738520 modified "2023-10-03" @default.
- W2002738520 title "Absolutely summing polynomials on Banach spaces with unconditional basis" @default.
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- W2002738520 doi "https://doi.org/10.1016/j.jmaa.2005.08.017" @default.
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