On harmonic functions operating in locally \(m\)-pseudo convex algebras (Q1420722)
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scientific article; zbMATH DE number 2031072
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On harmonic functions operating in locally \(m\)-pseudo convex algebras |
scientific article; zbMATH DE number 2031072 |
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On harmonic functions operating in locally \(m\)-pseudo convex algebras (English)
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3 February 2004
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A version of the maximum modulus principle for harmonic functions is considered in the context of locally \(m\)-pseudo-convex algebras. This is used to extend \textit{Ky Fan}'s theorem on the spectral inequality [Math. Z. 160, 275--290 (1978; Zbl 0441.30060 and Zbl 0455.47013)] and von Neumann's inequality [\textit{C. Foias}, Acta Sci. Math. 18, 15--20 (1957; Zbl 0078.29104)] to harmonic functions in the hermitian case.
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maximum modulus principle
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harmonic functional calculus
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\(Q\)-algebra
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hermitian algebra
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0.94892526
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0.9082264
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0.8998523
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0.89838606
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0.89688057
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