Let k be a field, V a vector spaceMathworldPlanetmath over k, and T:VV a linear operator. We say that a subspacePlanetmathPlanetmathPlanetmath W of V is T-admissible if

  1. 1.

    W is a T - invariant subspacePlanetmathPlanetmath;

  2. 2.

    If fk[X] (See the polynomial ring definition) and f(T)xW, there is a vector yW such that f(T)x=f(T)y.

Title admissibility
Canonical name Admissibility
Date of creation 2013-03-22 14:05:07
Last modified on 2013-03-22 14:05:07
Owner gumau (3545)
Last modified by gumau (3545)
Numerical id 6
Author gumau (3545)
Entry type Definition
Classification msc 15A04
Synonym admissible