Temat: universal function - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Derivative and antiderivative operators and the size of complex domains
Autorzy:: Bernal-González, Luis
Powiązania:: https://bibliotekanauki.pl/articles/1311689.pdf
Data publikacji:: 1994
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: universal function
equicontinuous sequence
derivative operator
antiderivative operator
MacLane's theorem
size of a domain
Opis:: We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.
Źródło:: Annales Polonici Mathematici; 1994, 59, 3; 267-274
0066-2216
Pojawia się w:: Annales Polonici Mathematici
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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