文章基本信息

标题：On the surjectivity of linear transformations
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作者：M. Damlakhi ; V. Anandam
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：1996
卷号：19
DOI：10.1155/S0161171296000750
出版社：Hindawi Publishing Corporation
摘要：Let B be a reflexive Banach space, X a locally convex space and T:B→X (not necessarily bounded) linear transformation. A necessary and sufficient condition is obtained so that for a given v∈X there is a solution for the equation Tu=v. This result is used to discuss the existence of an Lp-weak solution of Du=v where D is a differential operator with smooth coefficients and v∈Lp.