Resumen de The regularity of the space of germs of Frechet valued holomorphic functions and the mixed Hartog's theorem

T. T. Quang

• 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.