DUALSPACE

Dual space

In mathematics, any vector space, V, has a corresponding dual vector space consisting of all linear functionals on V. Dual vector spaces for finite-dimensional vector spaces can be used for studying tensors. When applied to vector spaces of functions, 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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dual space

Noun

  1. The vector space which comprises the set of linear transformations of a given vector space into its scalar field


The above text is a snippet from Wiktionary: dual space
and as such is available under the Creative Commons Attribution/Share-Alike License.

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