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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

On $ FK$-spaces which are boundedness domains


Author: Glenn Meyers
Journal: Proc. Amer. Math. Soc. 46 (1974), 38-42
MSC: Primary 46A45; Secondary 40J05
DOI: https://doi.org/10.1090/S0002-9939-1974-0372584-8
MathSciNet review: 0372584
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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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DOI: https://doi.org/10.1090/S0002-9939-1974-0372584-8
Article copyright: © Copyright 1974 American Mathematical Society

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