: Matemáticas: partial isometry

mathematical analysis > functional analysis > Banach algebra > C*-algebra > partial isometry

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partial isometry

In functional analysis a partial isometry is a linear map between Hilbert spaces such that it is an isometry on the orthogonal complement of its kernel. The orthogonal complement of its kernel is called the initial subspace and its range is called the final subspace. Partial isometries appear in the polar decomposition.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Partial_isometry)

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