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- W2951333730 abstract "Suppose that $lambda - T$ is left-invertible in $L(H)$ for all $lambda in Omega$, where $Omega$ is an open subset of the complex plane. Then an operator-valued function $L(lambda)$ is a left resolvent of $T$ in $Omega$ if and only if $T$ has an extension $tilde{T}$, the resolvent of which is a dilation of $L(lambda)$ of a particular form. Generalized resolvents exist on every open set $U$, with $bar{U}$ included in the regular domain of $T$. This implies a formula for the maximal radius of regularity of $T$ in terms of the spectral radius of its generalized inverses. A solution to an open problem raised by J. Zem'anek is obtained." @default.
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- W2951333730 date "1999-01-01" @default.
- W2951333730 modified "2023-09-25" @default.
- W2951333730 title "COMPRESSIONS OF RESOLVENTS AND MAXIMAL RADIUS OF REGULARITY" @default.
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