Temat: hypercyclic operator - 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:: Universal images of universal elements
Autorzy:: Bernal-González, Luis
Powiązania:: https://bibliotekanauki.pl/articles/1206133.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: universal element
almost commutativity
universal image
dense range
dense hypercyclic manifold
point spectrum of the adjoint
analytic function of an operator
real entire function
maximal dimension
Opis:: We furnish several necessary and sufficient conditions for the following property: For a topological space X, a continuous selfmapping S of X and a family τ of continuous selfmappings of X, the image under S of every τ-universal element is also τ-universal. An application in operator theory, where we extend results of Bourdon, Herrero, Bes, Herzog and Lemmert, is given. In particular, it is proved that every hypercyclic operator on a real or complex Banach space has a dense invariant linear manifold with maximal algebraic dimension consisting, apart from zero, of vectors which are hypercyclic.
Źródło:: Studia Mathematica; 2000, 138, 3; 241-250
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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