A sequence of discrete almost representing measures convergent to a representing measure

• Autorzy: Puchała P.
• Języki publikacji: EN

Abstrakty

EN

We will construct the sequence of discrete measures almost representing points of certain compact convex sets and supported by extreme points of that sets convergent in the weak* topology to a discrete measure which represents point of a compact convex set and is supported by its extreme points.

Słowa kluczowe

EN

discrete measures; control process

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2004
• Tom: Vol. 3, nr 1
• Strony: 185--188
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Puchała P.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

Bibliografia

• [1] Aliprantis Ch.D., Border K.C., Infinite dimensional analysis. A hitchhiker’s guide, 2nd edition, Springer Verlag 1999.
• [2] Phelps R.R., Lectures on Choquet theorem, 2nd edition, Springer Lecture Notes in Mathematics 1757, 2000.
• [3] Puchała P., On a lower semicontinuity of a certain multifunction, Scientific Research of the Institute of Mathematics and Computer Science 2003, 1, 2, 153-158.
• [4] Webster R., Convexity, Oxford University Press 1994.