Website owner: James Miller
SYNONYMS
The following is a list of synonyms, terms used interchangeably, meaning the same thing:
Linear space. Vector space
Subspace. Linear manifold
Transformation. Function, Mapping, Map, Operator
Linear Transformation. Linear mapping, Linear map, Linear operator,
Vector space homomorphism, Linear vector function, Morphism, Homogeneous affine
transformation
Null space. Kernel.
Note. The term Linear Operator is used by some authors to mean a linear transformation
T:V
V of a vector space onto itself.