On quasisimilarity of polynomially bounded operators
Let T and R be absolutely continuous polynomially bounded operators, that is, P°°-calculus is well-defined for them, and let X and Y be quasiaffinities which intertwine T and R: XT = RX, YR = TY. If there exists a function g g H°° such that XY = g(R), then cr(T) = <r(R) and cre(T) = oe(R). Also,...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
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| Sorozat: | Acta scientiarum mathematicarum
81 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-064-8 |
| Online Access: | http://acta.bibl.u-szeged.hu/35204 |
| Tartalmi kivonat: | Let T and R be absolutely continuous polynomially bounded operators, that is, P°°-calculus is well-defined for them, and let X and Y be quasiaffinities which intertwine T and R: XT = RX, YR = TY. If there exists a function g g H°° such that XY = g(R), then cr(T) = <r(R) and cre(T) = oe(R). Also, a generalization of the result for contractions of K. Takahashi [14] is given: if a polynomially bounded operator T is a quasiaffine transform of a unilateral shift S of finite multiplicity, then cre(T) = ae{S) and indT = indS, where ind is the Fredholm index. |
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| Terjedelem/Fizikai jellemzők: | 241-249 |
| ISSN: | 0001-6969 |