Autor: Domanski, P.J. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Pointwise multiplication operators on weighted Banach spaces of analytic functions
Autorzy:: Bonet, J.
Domański, P.
Lindström, M.
Powiązania:: https://bibliotekanauki.pl/articles/1216221.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: weighted Banach spaces of analytic functions
pointwise multiplication operator
essential norm, closed range
approximative point spectrum
maximal ideal space of $H^∞$
Shilov boundary
Gleason part
hypercyclic operator
chaotic operator
Opis:: 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 $M'_φ$.
Źródło:: Studia Mathematica; 1999, 137, 2; 177-194
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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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