On 𝐹𝐾-spaces which are boundedness domains

Meyers, Glenn

doi:10.1090/S0002-9939-1974-0372584-8

On $FK$-spaces which are boundedness domains
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by Glenn Meyers

Proc. Amer. Math. Soc. 46 (1974), 38-42

DOI: https://doi.org/10.1090/S0002-9939-1974-0372584-8

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Abstract:

An open question in summability theory is to characterize those FK-spaces, $E$, which are boundedness domains (i.e., $E = {m_A}$ for some infinite matrix $A$). As a partial solution to this problem we give necessary and sufficient conditions for an FK space $E$, which has the $T$-sectional boundedness property, to be equal to ${m_A}$ for some row-finite $A$.

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