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- W2078382221 abstract "We investigate analyticity of joint spectra of ${A^m}$-valued holomorphic mappings, where $A$ denotes a complex Banach algebra. We show also that if $K$ is an analytic set-valued function whose values are compact subsets of ${{mathbf {C}}^n}$ and $d$ is the transfinite diameter in ${{mathbf {C}}^n}$, then the upper-semicontinuous regularization of $log d(K)$ is plurisubharmonic. Moreover, we give higher dimensional extensions of Aupetitâs Scarcity Theorem." @default.
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- W2078382221 date "1986-01-01" @default.
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- W2078382221 title "Joint spectra and analytic set-valued functions" @default.
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- W2078382221 doi "https://doi.org/10.1090/s0002-9947-1986-0819942-5" @default.
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