admissibility
Let k be a field, V a vector space over k, and T:V→V a linear operator. We say that a subspace W of V is T-admissible if
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1.
W is a T - invariant subspace;
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2.
If f∈k[X] (See the polynomial ring definition) and f(T)x∈W, there is a vector y∈W such that f(T)x=f(T)y.
Title | admissibility |
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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 |