subspace has definitions from the field of mathematics
1
[ noun ] (mathematics) a space that is contained within another space

Used in print

(Kenneth Hoffman and Ray Kunze, Linear Al...)

On_the_other_hand , the null_space of * * f and the null_space of * * f together span V , the former being the subspace spanned by * * f and the latter the subspace spanned by * * f and * * f .

On_the_other_hand , the null_space of * * f and the null_space of * * f together span V , the former being the subspace spanned by * * f and the latter the subspace spanned by * * f and * * f .

We wish to show that the range of * * f is exactly the subspace * * f .

It is certainly clear that the subspaces * * f are invariant under T .

If * * f is the operator induced on * * f by T , then evidently * * f , because by definition * * f is 0 on the subspace * * f .

Related terms

space

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