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• W2034139225 abstract "The main result of this paper is some new equivalent condition for a contraction to be a direct sum of a unitary operator and a C.0 completely nonunitary contraction (called Wold-type decomposition). It is applied for (p,k)-quasihyponormal, k*-paranormal, k-paranormal and of class Q operators. This decomposition is connected with the Putnam-Fuglede property. Additionally, we show an example of operator of class Q with norm 1, but without SVEP (so not paranormal). Finally, we remark that each k*-paranormal operator is (k+1)-paranormal." @default.
• W2034139225 created "2016-06-24" @default.
• W2034139225 creator A5059508941 @default.
• W2034139225 date "2012-05-01" @default.
• W2034139225 modified "2023-10-16" @default.
• W2034139225 title "On Wold-type decomposition" @default.
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• W2034139225 doi "https://doi.org/10.1016/j.laa.2011.09.001" @default.
• W2034139225 hasPublicationYear "2012" @default.
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