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• W2935928859 abstract "Let $A$ be a bounded linear operator on a complex Banach space $X.$ For a given $alpha geq 0,$ we consider the class $mathcal{D}_{A}^{alpha }left( mathbb{R} right) $ of all bounded linear operators $T$ on $X$ for which there exists a constant $C_{T}>0$, such that begin{equation*} leftVert e^{tA}Te^{-tA}rightVert leq C_{T}left( 1+leftvert trightvert right) ^{alpha }, text {} forall tin mathbb{R} end{equation*} We present complete description of the class $mathcal{D}_{A}^{alpha }left( mathbb{R} right) $ in the case when the spectrum of $A$ consists of one point. These results are linked to the decomposability of $A.$ Some estimates for the norm of the commutator $AT-TA$ are obtained in the case $0leq alpha <1.$" @default.
• W2935928859 created "2019-04-25" @default.
• W2935928859 creator A5030851927 @default.
• W2935928859 date "2019-04-10" @default.
• W2935928859 modified "2023-09-27" @default.
• W2935928859 title "Operators Whose Conjugation Orbits Satisfy Polynomial Growth Conditions" @default.
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• W2935928859 hasPublicationYear "2019" @default.
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