Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 6

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Factorization of Montel operators

100%
Dierolf S., Domański P.
Studia Mathematica
|
1993
|
tom 107
|
nr 1
15-32
EN
Consider the following conditions. (a) Every regular LB-space is complete; (b) if an operator T between complete LB-spaces maps bounded sets into relatively compact sets, then T factorizes through a Montel LB-space; (c) for every complete LB-space E the space C (βℕ, E) is bornological. We show that (a) ⇒ (b) ⇒ (c). Moreover, we show that if E is Montel, then (c) holds. An example of an LB-space E with a strictly increasing transfinite sequence of its Mackey derivatives is given.
2
Content available remote

Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity

100%
Domański P., Drewnowski L.
Studia Mathematica
|
1992
|
tom 102
|
nr 3
257-267
EN
Fréchet spaces of strongly, weakly and weak*-continuous Fréchet space valued functions are considered. Complete solutions are given to the problems of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces.
3
Content available remote

A splitting theory for the space of distributions

100%
Domański P., Vogt D.
Studia Mathematica
|
2000
|
tom 140
|
nr 1
57-77
EN
The splitting problem is studied for short exact sequences consisting of countable projective limits of DFN-spaces (*) 0 → F → X → G → 0, where F or G are isomorphic to the space of distributions D'. It is proved that every sequence (*) splits for F ≃ D' iff G is a subspace of D' and that, for ultrabornological F, every sequence (*) splits for G ≃ D' iff F is a quotient of D'
4
Content available remote

Pointwise multiplication operators on weighted Banach spaces of analytic functions

81%
Bonet J., Domański P., Lindström M.
Studia Mathematica
|
1999
|
tom 137
|
nr 2
177-194
EN
For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator $M_φ$, $M_φ(f)=φf$, on the weighted Banach spaces of analytic functions on the disc with the sup-norm. Thus we characterize when $M'_φ$ is Fredholm or is an into isomorphism. We also study cyclic phenomena for the adjoint map $M'_φ$.
5
Content available remote

Standard exact projective resolutions relative to a countable class of Fréchet spaces

81%
Domański P., Krone J., Vogt D.
Studia Mathematica
|
1997
|
tom 123
|
nr 3
275-290
EN
We will show that for each sequence of quasinormable Fréchet spaces $(E_n)_ℕ$ there is a Köthe space λ such that $Ext^1(λ(A), λ(A) = Ext^1 (λ(A), E_n)=0$ and there are exact sequences of the form $... → λ(A) → λ(A) → λ(A) → λ(A) → {E_n} → 0$. If, for a fixed ℕ, $E_n$ is nuclear or a Köthe sequence space, the resolution above may be reduced to a short exact sequence of the form $0 → λ(A) → λ(A) → {E_n} → 0$. The result has some applications in the theory of the functor $Ext^1$ in various categories of Fréchet spaces by providing a substitute for non-existing projective resolutions.
6
Content available remote

Fréchet quotients of spaces of real-analytic functions

81%
Domański P., Frerick L., Vogt D.
Studia Mathematica
|
2003
|
tom 159
|
nr 2
229-245
EN
We characterize all Fréchet quotients of the space 𝒜(Ω) of (complex-valued) real-analytic functions on an arbitrary open set $Ω ⊆ ℝ^{d}$. We also characterize those Fréchet spaces E such that every short exact sequence of the form 0 → E → X → 𝒜(Ω) → 0 splits.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.