Integral representation for powers of elements in locally <Emphasis Type="Italic">m</Emphasis>-convex algebras and applications |
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| Authors: | Aida Toma |
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| Institution: | (1) Mathematics Dept., Academy of Economic Studies, Piaţa Romană 6, Bucharest, Romania;(2) “Gheorghe Mihoc — Caius Iacob” Institute of Mathematical Statistics and Applied Mathematics, Calea 13 Septembrie 13, Bucharest, Romania |
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| Abstract: | This paper proves a new integral representation theorem for powers of elements in locally m-convex algebras. It is shown that the conditions handled in this theorem are satisfied for any sequentially complete locally
m-convex Q-algebra. Various applications of this result concerning the spectrum, the spectral radius or the numerical radius are given.
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| Keywords: | Integral representation Locally m-convex algebras Numerical radius Spectral radius |
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