期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2004
卷号：2004
DOI：10.1155/S0161171204403585
出版社：Hindawi Publishing Corporation
摘要：Let X
and Y
be Banach spaces. A set ℳ
of 1-summing operators from X into
Y is said to be uniformly
summing if the following holds: given a weakly 1-summing sequence
(xn)
in X, the series
∑n‖Txn‖
is uniformly convergent in T∈ℳ. We study some general properties and
obtain a characterization of these sets when ℳ
is a set of operators defined on spaces of continuous functions.
