• 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....
    15 KB (2,119 words) - 22:37, 30 November 2023
  • Thumbnail for Vector space
    infinite-dimensional vector spaces, and many function spaces have the cardinality of the continuum as a dimension. Many vector spaces that are considered...
    87 KB (11,494 words) - 16:23, 2 August 2024
  • spaces and Sobolev spaces. Many topological vector spaces are spaces of functions, or linear operators acting on topological vector spaces, and the topology...
    103 KB (13,529 words) - 03:12, 5 July 2024
  • coordinate vector space. Many vector spaces are considered in mathematics, such as extension fields, polynomial rings, algebras and function spaces. The term...
    10 KB (2,013 words) - 17:06, 9 August 2024
  • Thumbnail for Vector bundle
    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...
    31 KB (4,089 words) - 16:41, 9 April 2024
  • Thumbnail for Normed vector space
    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...
    18 KB (2,890 words) - 22:11, 21 February 2024
  • idea of a coordinate vector can also be used for infinite-dimensional vector spaces, as addressed below. Let V be a vector space of dimension n over a field...
    8 KB (1,310 words) - 04:38, 4 February 2024
  • Thumbnail for Inner product space
    Euclidean vector spaces, in which the inner product is the dot product or scalar product of Cartesian coordinates. Inner product spaces of infinite dimension...
    56 KB (7,305 words) - 10:53, 26 August 2024
  • related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that...
    58 KB (10,592 words) - 23:16, 10 August 2024
  • of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector spaces...
    5 KB (377 words) - 12:12, 30 October 2023