Temat: exposed point - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Exposed points in the set of representing measures for the disc algebra
Autorzy:: Izzo, Alexander
Powiązania:: https://bibliotekanauki.pl/articles/1311562.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: disc algebra
exposed point
representing measure
Opis:: It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ {x} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.
Źródło:: Annales Polonici Mathematici; 1995, 61, 1; 59-62
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Extreme and exposed representing measures of the disk algebra
Autorzy:: Heinis, Alex
Wiegerinck, Jan
Powiązania:: https://bibliotekanauki.pl/articles/1208017.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: exposed point
representing measure
extreme point
disk algebra
Opis:: We study the extreme and exposed points of the convex set consisting of representing measures of the disk algebra, supported in the closed unit disk. A boundary point of this set is shown to be extreme (and even exposed) if its support inside the open unit disk consists of two points that do not lie on the same radius of the disk. If its support inside the unit disk consists of 3 or more points, it is very seldom an extreme point. We also give a necessary condition for extreme points to be exposed and show that so-called BSZ-measures are never exposed.
Źródło:: Annales Polonici Mathematici; 2000, 73, 2; 105-118
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

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