The regularity of the space of germs of Frechet valued holomorphic functions and the mixed Hartog's theorem
- Autores: T. T. Quang
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 99, Nº 1, 2006, págs. 119-135
- Idioma: inglés
- DOI: 10.7146/math.scand.a-15003
- Enlaces
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Resumen
It is shown that H(K,F) is regular for every reflexive Fréchet space F with the property (LB∞) where K is a compact set of uniqueness in a Fréchet-Schwartz space E such that E∈(Ω). Using this result we give necessary and sufficient conditions for a Fréchet space F, under which every separately holomorphic function on K×F∗ is holomorphic, where K is as above.
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