Category
page 1Vector spaces
vector space
the basic algebraic structure of linear algebra; a module over a field, such that its elements can be added together or scaled by elements of the field
dimension of a vector space
number of vectors in any basis of the vector space
topological vector space
vector space equipped with a compatible topology
real-valued function
function whose range is a subset of the real numbers
complexification
In mathematics, the complexification of a vector space over the field of real numbers (a "real vector space") yields a vector space over the complex number field, obtained by formally extending the scaling of vectors by real numbers to include their scaling ("multiplication") by complex numbers. Any basis for (a space over the real numbers) may also serve as a basis for over the complex numbers.
graded vector space
algebraic structure that is easily decomposable into subspaces
ordered vector space
vector space with a partial order