Displaying similar documents to “Isomorphy classes of spaces of holomorphic functions on open polydiscs in dual power series spaces”

Holomorphic functions and Banach-nuclear decompositions of Fréchet spaces

Seán Dineen (1995)

Studia Mathematica

Similarity:

We introduce a decomposition of holomorphic functions on Fréchet spaces which reduces to the Taylor series expansion in the case of Banach spaces and to the monomial expansion in the case of Fréchet nuclear spaces with basis. We apply this decomposition to obtain examples of Fréchet spaces E for which the τ_{ω} and τ_{δ} topologies on H(E) coincide. Our result includes, with simplified proofs, the main known results-Banach spaces with an unconditional basis and Fréchet nuclear spaces...