A multilinear algebra proof of the Cauchy-Binet formula and a multilinear version of Parseval's identity


Konstantopoulos, Takis (2013) A multilinear algebra proof of the Cauchy-Binet formula and a multilinear version of Parseval's identity. Unknown.

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Abstract

We give a short proof of the Cauchy-Binet determinantal formula using multilinear algebra by first generalizing it to an identity {\em not} involving determinants. By extending the formula to abstract Hilbert spaces we obtain, as a corollary, a generalization of the classical Parseval identity.

Item Type: Article
Additional Information: 9 pages, 2 diagrams
Uncontrolled Keywords: math.RA, math.RA, 15A15, 15A69, 15A24, 46C05
Depositing User: Symplectic Admin
Date Deposited: 22 Aug 2018 14:31
Last Modified: 19 Jan 2023 01:26
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3025413
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