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• W2558724579 abstract "A bounded linear operator $T$ on a Hilbert space $mathcal{H}$ is concave if, for each $xinmathcal{H}$, $ T^2x ^2-2 Tx ^2 + x ^2 leq 0$. In this paper, it is shown that if $T$ is a concave operator then so is every power of $T$. Moreover, we investigate the concavity of shift operators. Furthermore, we obtain necessary and sufficient conditions for N-supercyclicity of co-concave operators. Finally, we establish necessary and sufficient conditions for the left and right multiplications to be concave on the Hilbert-Schmidt class." @default.
• W2558724579 created "2016-12-08" @default.
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• W2558724579 date "2016-01-01" @default.
• W2558724579 modified "2023-10-14" @default.
• W2558724579 title "Some properties of concave operators" @default.
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• W2558724579 doi "https://doi.org/10.3906/mat-1501-41" @default.
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