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Specification of matrix algebra problems by reduction

✍ Scribed by V. V. Byts'; R. M. Zulunov

Publisher
Springer US
Year
1994
Tongue
English
Weight
394 KB
Volume
71
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES

On the problem of degree reduction of a
On the problem of degree reduction of a scattering matrix by factorization
✍ P. Dewilde; V. Belevitch; R.W. Newcomb πŸ“‚ Article πŸ“… 1971 πŸ› Elsevier Science 🌐 English βš– 951 KB

## Bebvitch (1) haa shown that, starting from a given paseive, rational, n x n scattering muttix S( p) of degree 6, one can proceed to a realization by factoring it in the form S(P) = S,(P)S,(P), where S,(p) is an n x n, lorrslees acaltering matrix of degree one, while the degree of S1( ) is redwe

A Solution of the Matrix Problem for Ric
A Solution of the Matrix Problem for Rickart C*-Algebras
✍ Pere Ara; Dmitry Goldstein πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 636 KB

## Abstract We prove that matrix algebras over a Rickart __C__\*‐algebra are also Rickart __C__\*‐algebras. As a consequence of this, every Rickart __C__\*‐algebra is an __UMF__‐algebra and satisfies polar decomposition.