On power similarity of complex symmetric operators

In this paper, we study properties of operators which are power similar to complex symmetric operators. In particular, we prove that if T is power similar to a complex symmetric operator, then T is decomposable modulo a closed set S ? C if and only if R has the Bishop?s property (?) modulo S. Using...

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Veröffentlicht in:Filomat 2019, Vol.33 (11), p.3577-3586
Hauptverfasser: Ko, Eungil, Lee, Ji, Lee, Mee-Jung
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we study properties of operators which are power similar to complex symmetric operators. In particular, we prove that if T is power similar to a complex symmetric operator, then T is decomposable modulo a closed set S ? C if and only if R has the Bishop?s property (?) modulo S. Using the results, we get some applications of such operators. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1911577K