This page lists some examples of vector spaces. See vector space for the definitions of terms used on this page. See also: dimension, basis. Notation....

operations of vector addition and scalar multiplication must satisfy certain requirements, called vector axioms. Real vector spaces and complex vector spaces are...

spaces and Sobolev spaces. Many topological vector spaces are spaces of functions, or linear operators acting on topological vector spaces, and the topology...

of normed spaces and Banach spaces is a fundamental part of functional analysis, a major subfield of mathematics. A normed vector space is a vector space...

mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X {\displaystyle...

coordinate vector space. Many vector spaces are considered in mathematics, such as extension fields, polynomial rings, algebras and function spaces. The term...

related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that...

of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector spaces...

vector, a vector where all components are zero 0 vector space; see Examples of vector spaces 0-velocity surface, or Zero-velocity surface V0 (disambiguation)...

Euclidean vector spaces, in which the inner product is the dot product or scalar product of Cartesian coordinates. Inner product spaces of infinite dimension...