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- W2768082107 abstract "In this paper we prove that the ascent of a weighted conditional expectation operator of the form of $M_wEM_u$ on $L^p$-spaces is always finite and is equal to 2. Also we get that under a weak condition the descent of $M_wEM_u$ is finite and is equal to 2 too. Moreover, we give some necessary and sufficient conditions for $M_wE M_u$ to be power bounded. In the sequel we apply some results in operator theory on ascent and descent to $M_wEM_u$. Finally we find that $T=M_wEM_u$ is Cesaro bounded if and only if $widehat{T}$ is Cesaro bounded." @default.
- W2768082107 created "2017-11-17" @default.
- W2768082107 creator A5026915173 @default.
- W2768082107 date "2017-11-05" @default.
- W2768082107 modified "2023-09-27" @default.
- W2768082107 title "On a class of operators with finite ascent and descent" @default.
- W2768082107 hasPublicationYear "2017" @default.
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