What is dual space?

Dual Space

In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite-dimensional vector spaces can be used for defining tensors. When applied to vector spaces of functions (which typically are infinite-dimensional), dual spaces are employed for defining and studying concepts like measures, distributions, and Hilbert spaces. Consequently, the dual space is an important concept in the study of functional analysis.

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Famous quotes containing the words dual and/or space:

    Thee for my recitative,
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    declining,
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    Walt Whitman (1819–1892)

    I would have broke mine eye-strings, cracked them, but
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    William Shakespeare (1564–1616)