Dimension of Certain Kernel Spaces of Linear Operators

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1991Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 112, page 381 (issn: 0002-9939,

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Authors: Zuowei Shen;

doi: 10.2307/2048730 , 10.1090/s0002-9939-1991-1065091-0

Dimension of Certain Kernel Spaces of Linear Operators

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Abstract

Let G G be a semigroup of linear operators on a vector space S S into itself with the operation of composition. A subset of G G may be associated with a matroid X X . We discuss the dimension of the kernels of certain linear operators induced in a natural way by the matroid structure on X X .

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