INNERPRODUCTSPACE

Inner product space

In linear algebra, an inner product space is a vector space with an additional structure called an inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors. Inner products allow the rigorous introduction of intuitive geometrical notions such as the length of a vector or the angle between two vectors. They also provide the means of defining orthogonality between vectors . Inner product spaces generalize Euclidean spaces to vector spaces of any dimension, and are studied in functional analysis.

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inner product space

Noun

  1. A vector space which is additionally equipped with an inner product.


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

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