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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1305.0644v1.pdf - Submitted version Download (136kB) |
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 |
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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 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3025413 |
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