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- W1488916008 abstract "Suppose that $mathscr{A}$ is an operator algebra on a Hilbert space $H$. An element $V$ in $mathscr{A}$ is called an all-derivable point of $mathscr{A}$ for the strong operator topology if every strong operator topology continuous derivable mapping $phi$ at $V$ is a derivation. Let $mathscr{N}$ be a complete nest on a complex and separable Hilbert space $H$. Suppose that $M$ belongs to $mathscr{N}$ with ${0}neq Mneq H$ and write $hat{M}$ for $M$ or $M^{bot}$. Our main result is: for any $Omegain algmathscr{N}$ with $Omega=P(hat{M})Omega P(hat{M})$, if $Omega |_{hat{M}}$ is invertible in $algmathscr{N}_{hat{M}}$, then $Omega$ is an all-derivable point in $algmathscr{N}$ for the strong operator topology." @default.
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- W1488916008 date "2010-07-01" @default.
- W1488916008 modified "2023-10-16" @default.
- W1488916008 title "All-derivable points in nest algebras" @default.
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- W1488916008 doi "https://doi.org/10.1016/j.laa.2010.01.034" @default.
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