Equi-surjective systems of linear operators and applications

Authors: Đinh Thế Lục, N. B. Minh,

https://doi.org/10.1016/j.jmaa.2007.03.088

Publisher, magazine: ,

Publication year: 2008

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Abstract

We study a system of linear operators between finite-dimensional Euclidean spaces. Emphasis is made on unbounded systems and sufficient conditions are established for their equi-surjectivity. An application is presented in which a system of approximate Jacobian matrices is used to obtain a parametric interior mapping theorem. A multiplier rule for vector problems is also derived.

Tags: linear operator; equisurjectivity; recession matrix; interior mapping theorem