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Representing a commuting pair by tensor products

✍ Scribed by Chandler Davis

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
151 KB
Volume
3
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

On a representation of commuting maps by
On a representation of commuting maps by tensor products
✍ Luzius Grunenfelder; TomaΕΎ KoΕ‘ir πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 382 KB

## It is shown that a representation by tensor products of degree n2 exists for every pair of commuting linear maps on an n-dimensional vector space, but in general, not a representation of degree less than n2.

On a unification result by A.R. Sourour
On a unification result by A.R. Sourour concerning commutators and products of involutions
✍ J.D. Botha πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 110 KB

Sourour [A.R. Sourour, A factorization theorem for matrices, Linear and Multilinear Algebra 19 (1986) 141-147] presented a factorization theorem for nonsingular matrices, and demonstrated how it could be used to unify some matrix factorization results concerning commutators and products of involutio