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
infinite-dimensional vector spaces, and many function spaces have the cardinality of the continuum as a dimension. Many vector spaces that are considered...
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spaces and Sobolev spaces. Many topological vector spaces are spaces of functions, or linear operators acting on topological vector spaces, and the topology...
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coordinate vector space. Many vector spaces are considered in mathematics, such as extension fields, polynomial rings, algebras and function spaces. The term...
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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
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...
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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
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...
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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
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