admissibility
Let $k$ be a field, $V$ a vector space^{} over $k$, and $T:V\to V$ a linear operator. We say that a subspace^{} $W$ of $V$ is $T$admissible if

1.
$W$ is a $T$  invariant subspace^{};

2.
If $f\in k[X]$ (See the polynomial ring definition) and $f(T)x\in W$, there is a vector $y\in W$ such that $f(T)x=f(T)y$.
Title  admissibility 

Canonical name  Admissibility 
Date of creation  20130322 14:05:07 
Last modified on  20130322 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 