Linear form

English

Noun

1. Template:Lb A linear functional.

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   • 1961 [Prentice-Hall], Richard A. Silverman (translator), Template:W, An Introduction to the Theory of Linear Spaces, 1974, Dover, page 66,

     A more general linear form in the same space is the expression

     $f(x)=\sum _{k+1}^n{c}_k{\zeta }_k$

     with arbitrary fixed coefficients $c_1,c_2\dots ,c_n$.

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Usage notes

• The terms linear form and Template:M are semantically interchangeable. However, the former appears to emphasise that the entity is an algebraic structure, while the latter emphasises that it is a mapping. Thus, linear form is arguably more appropriate to linear algebra, and linear functional to functional analysis.

Synonyms

• Template:Sense Template:L, Template:L, Template:L

Derived terms

• Template:L

Related terms

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See also

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Further reading

• Linear Functional on Template:W