Temat: Frechet - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity
Autorzy:: Domański, P.
Drewnowski, L.
Powiązania:: https://bibliotekanauki.pl/articles/1293180.pdf
Data publikacji:: 1992
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Fréchet spaces of (weakly, weak*) continuous vector-valued functions injective Fréchet spaces
spaces complemented in dual Fréchet spaces
complemented copies of $c_0$
Josefson-Nissenzweig theorem
Opis:: 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.
Źródło:: Studia Mathematica; 1992, 102, 3; 257-267
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Factorization of Montel operators
Autorzy:: Dierolf, S.
Domański, P.
Powiązania:: https://bibliotekanauki.pl/articles/1292530.pdf
Data publikacji:: 1993
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Fréchet space
Fréchet-Montel space
complete LB-space
Montel LB-space
regular LB-space
Mackey completion of an LB-space
bornologicity of C(K,E)
Opis:: 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.
Źródło:: Studia Mathematica; 1993, 107, 1; 15-32
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Standard exact projective resolutions relative to a countable class of Fréchet spaces
Autorzy:: Domański, P.
Krone, J.
Vogt, D.
Powiązania:: https://bibliotekanauki.pl/articles/1220055.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Fréchet spaces
Köthe sequence spaces
splitting of short exact sequences
nuclear spaces
Schwartz spaces
quasinormable spaces
functor $Ext^1$
projective spaces
projective resolution
Opis:: 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.
Źródło:: Studia Mathematica; 1997, 123, 3; 275-290
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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