AbstractIf E is a complex Fréchet space, F is an infinite dimensional closed subspace of E such that E/F is not Montel, and Π: E → E/F is the canonical quotient mapping, we prove here that there always is an absolutely convex open set U in E such that the induced mapping Π*: Hb(Π(U)) → Hb(U) is not an embedding. Other related results are given
We study the boundary behaviour of holomorphic functions in the Hardy\u2013 Sobolev spaces Hp;k(D), ...
AbstractLet Ω be a domain in Cn. Let H(Ω) be the linear space over C of the holomorphic functions in...
We study the bounded approximation property for spaces of holomorphic functions. We show that if U i...
AbstractIf E is a complex Fréchet space, F is an infinite dimensional closed subspace of E such that...
AbstractLet Ω be a regular domain in the complex plane C, Ω≠C. Let Gb(Ω) be the linear space over C ...
AbstractIn this paper we prove that if U is an open subset of a metrizable locally convex space E of...
In this note we show that every complemented Montel subspace F of a Fréchet space E of Moscatelli ty...
Let E be a Fréchet Schwartz space with a continuous norm and with a finite-dimensional decomposition...
AbstractFor an open subset U of a locally convex space E, let (H(U),τ0) denote the vector space of a...
AbstractWe prove three theorems yielding sufficient conditions for a continuous function f: X → Y to...
AbstractFor a Banach space E, we prove that the Fréchet space Hb(E) is the strong dual of an (LB)-sp...
It is shown that if E is a Frechet space with the strong dual E∗ then Hb(E ∗), the space of holomorp...
For an open subset U of a locally convex space E, let (H(U), tau(0)) denote the vector space of all ...
Let E be a locally convex space and X complex manifold modelled on a locally convex space. A holomor...
Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and o...
We study the boundary behaviour of holomorphic functions in the Hardy\u2013 Sobolev spaces Hp;k(D), ...
AbstractLet Ω be a domain in Cn. Let H(Ω) be the linear space over C of the holomorphic functions in...
We study the bounded approximation property for spaces of holomorphic functions. We show that if U i...
AbstractIf E is a complex Fréchet space, F is an infinite dimensional closed subspace of E such that...
AbstractLet Ω be a regular domain in the complex plane C, Ω≠C. Let Gb(Ω) be the linear space over C ...
AbstractIn this paper we prove that if U is an open subset of a metrizable locally convex space E of...
In this note we show that every complemented Montel subspace F of a Fréchet space E of Moscatelli ty...
Let E be a Fréchet Schwartz space with a continuous norm and with a finite-dimensional decomposition...
AbstractFor an open subset U of a locally convex space E, let (H(U),τ0) denote the vector space of a...
AbstractWe prove three theorems yielding sufficient conditions for a continuous function f: X → Y to...
AbstractFor a Banach space E, we prove that the Fréchet space Hb(E) is the strong dual of an (LB)-sp...
It is shown that if E is a Frechet space with the strong dual E∗ then Hb(E ∗), the space of holomorp...
For an open subset U of a locally convex space E, let (H(U), tau(0)) denote the vector space of all ...
Let E be a locally convex space and X complex manifold modelled on a locally convex space. A holomor...
Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and o...
We study the boundary behaviour of holomorphic functions in the Hardy\u2013 Sobolev spaces Hp;k(D), ...
AbstractLet Ω be a domain in Cn. Let H(Ω) be the linear space over C of the holomorphic functions in...
We study the bounded approximation property for spaces of holomorphic functions. We show that if U i...
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