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- W2012120874 abstract "Let $T$ be an operator on a complex Hilbert space $H$. Some growth conditions on operator radius of the resolvent of $T$ are studied. Moreover, it is shown that the conjecture, due to V. IstrÄtescu, that for operators $T$ satisfying growth condition $({{text {G}}_1})$ [ sup limits _{||x|| = 1} ;{ ||Tx|{|^2} - |(Tx,;x){|^2}} = R_T^2,] where ${R_T}$ is the radius of the smallest circular disk containing the spectrum $sigma (T)$, turns out to be false." @default.
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- W2012120874 date "1975-02-01" @default.
- W2012120874 modified "2023-10-17" @default.
- W2012120874 title "Operators satisfying certain growth conditions" @default.
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- W2012120874 doi "https://doi.org/10.1090/s0002-9939-1975-0385617-0" @default.
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