PlanetMath: admissibility

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admissibility

(Definition)

Let be a field, a vector space over , and $T\colon V\to V$ a linear operator. We say that a subspace of is -admissible if

is a - invariant subspace;
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 .

"admissibility" is owned by gumau.

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Other names:

admissible

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Cross-references: vector, polynomial ring, invariant subspace, subspace, linear operator, vector space, field
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This is version 3 of admissibility, born on 2003-12-02, modified 2004-03-15.
Object id is 5448, canonical name is Admissibility.
Accessed 3428 times total.

Classification:

15A04 (Linear and multilinear algebra; matrix theory :: Linear transformations, semilinear transformations)

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