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：2003
卷号：2003
DOI：10.1155/S0161171203207109
出版社：Hindawi Publishing Corporation
摘要：Let X be a Banach module over the commutative Banach algebra
A with maximal ideal space Δ. We show that there is a
norm-decreasing representation of X as a space of bounded
sections in a Banach bundle π:ℰ→Δ, whose fibers are quotient modules of X. There is also a
representation of M(X), the space of multipliers T:A→X, as a space of sections in the same bundle, but
this representation may not be continuous. These sectional
representations subsume results of various authors over the past
three decades.
