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On unconditionally p-summing and weakly p-convergent polynomials

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Abstract.

We introduce a graduation of unconditionally summing operators and polynomials in two different ways: One way consists in the scaling of the unconditionally p-summability, the other in the scaling of the degree of compactness at the point zero. As a main result it is shown that unconditionally p-summability coincides with the weakly p-compactness for certain parameters p.

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Received: 8.1.1997, new version received 15.5.1997.

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Junek, H., Matos, M. On unconditionally p-summing and weakly p-convergent polynomials. Arch. Math. 70, 41–51 (1998). https://doi.org/10.1007/s000130050163

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  • DOI: https://doi.org/10.1007/s000130050163

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