The structure of spaces of quasianalytic functions of Roumieu type |
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| Authors: | José Bonet Pawel Domański |
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| Affiliation: | (1) Departamento de Matemática Aplicada and IMPA-UPV, E.T.S. Arquitectura, Universidad Politécnica de Valencia, E-46071 Valencia, Spain;(2) Faculty of Mathematics and Comp. Sci., A. Mickiewicz University, Poznań, Poland;(3) Institute of Mathematics, Polish Academy of Sciences (Poznań branch), Umultowska 87, 61-614 Poznań, Poland |
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| Abstract: | It is shown that spaces of quasianalytic ultradifferentiable functions of Roumieu type ℰ{w}(Ω), on an open convex set  , satisfy some new (Ω) -type linear topological invariants. Some consequences for the splitting of short exact sequences of these spaces as well as for the structure of the spaces are derived. In particular, Fréchet quotients of ℰ{w}(Ω) have property ( ), while dual Fréchet quotients have property ( ) of Vogt. The work of P. Domański was supported by Committee of Scientific Research (KBN), Poland, grant P03A 022 25. |
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| Keywords: | Primary 46E10 Secondary 30D60, 35E20, 35R20, 46A63, 46A13, 46E10, 46F05, 46M18 |
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