Nonselfadjoint Operators and Related Topics
Workshop on Operator Theory and Its Applications, Beersheva, February 24-28, 1992
Our goal is to find Grabner bases for polynomials in four different sets of expressions: 1 x- , (1 - x)-1 (RESOL) X, 1 x- (1 - xy)-1 (EB) X, , y-1, (1-yx)-1 y, (1_y)-1 (1-x)-1 (preNF) (EB) plus and (1 - xy)1/2 (1 - yx )1/2 (NF) (preNF) plus and Most formulas in the theory of the Nagy-Foias operator model [NF] are polynomials in these expressions where x = T and y = T*. Complicated polynomials can often be simplified by applying replacement rules. For example, the polynomial (1 - xy)-2 - 2xy(1-xy)-2 + xy2 (1 - xy)-2 -1 simplifies to O. This can be seen by three applications of the replacement rule (1-xy) -1 xy -t (1 - xy)-1 -1 which is true be…
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Produktdetails
Weitere Autoren: Gohberg, I. (Hrsg.)
- ISBN: 978-3-0348-9663-4
- EAN: 9783034896634
- Produktnummer: 15420361
- Verlag: Birkhäuser Basel
- Sprache: Englisch
- Erscheinungsjahr: 2012
- Seitenangabe: 436 S.
- Masse: H24.4 cm x B17.0 cm x D2.3 cm 748 g
- Auflage: Softcover reprint of the original 1st ed. 1994
- Abbildungen: Paperback
- Gewicht: 748
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