n线性算子的闭图象定理  

The Closed Graph Theorem for n-Linear Operator

作　　者：洪振杰[1] 

机构地区：[1]温州师范学院数学系,温州325003

出　　处：《温州师范学院学报》1998年第3期5-7,共3页Journal of Wenzhou Teachers College(Philosophy and Social Science Edition)

摘　　要：n线性算子是结构最简单的非线性映象，它们有许多类似于线性算子的地方．比如它们的连续性与有界性紧密相连，再如，有推广的共鸣定理[1,2]．本文进一步证明：n线性算子有闭图象定理．n-linear operator is the simplist non-linear mapping,it bears many properties similar to the linear operator,for eample,its continuity is closely related with its boundness and it bears the Resonance theorem,Further more, in this paper,We obtain another basic principle, the Closed Graph Theorem for n-Linear Opertor.

关 键 词：n线性算子 共鸣定理 闭图象定理 非线性算子 

分 类 号：O177.91[理学—数学]