On compact subsets in coechelon spaces of infinite order

Albanese, Angela

doi:10.1090/S0002-9939-99-05039-X

On compact subsets in coechelon spaces of infinite order
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by Angela A. Albanese

Proc. Amer. Math. Soc. 128 (2000), 583-588

DOI: https://doi.org/10.1090/S0002-9939-99-05039-X

Published electronically: July 6, 1999

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Abstract:

For coechelon spaces $k_{\infty }(v)$ of infinite order it is proved that every compact subset of $k_{\infty }(v)$ is contained in a closed absolutely convex hull of some null sequence if and only if the matrix $v$ is regularly decreasing.

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