A multilinear algebra proof of the Cauchy–Binet formula and a multilinear version of Parsevalʼs identity |
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Authors: | Takis Konstantopoulos |
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Institution: | Department of Mathematics, Uppsala University, 751 06 Uppsala, Sweden |
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Abstract: | We prove the Cauchy–Binet determinantal formula using multilinear algebra by first generalizing it to an identity not involving determinants. By extending the formula to abstract Hilbert spaces we obtain, as a corollary, a generalization of the classical Parseval identity. |
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Keywords: | 15A15 15A69 15A24 46C05 |
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