[Turkmath] Hacettepe seminer: Nazife Erkurşun Özcan, 26 Kasım Çarşamba

[Mesut Şahin]

Değerli liste üyeleri, aşağıda detayları verilen seminere hepinizi
bekliyoruz. Hepinizin öğretmenler günü kutlu olsun. Mesut.



*Tarih (Date) :* 26.11.2014, Çarşamba (Wednesday)

*Saat (Time):* 15:00

*Yer (Place):* Yaşar ATAMAN Seminer Salonu

*Konuşmacı (Speaker):* Yrd. Doç. Dr. Nazife Erkurşun Özcan (Hacettepe Ü
niversitesi)

*Başlık (Title) :*Quasi-compactness and uniform convergence of Markov
operator nets on KB-spaces

*Özet (Abstract) : *

Kryloff and Bogoliouboff in 1937 introduced an important class of
quasi-compact operators for which the uniform mean ergodic theorem can be
obtained. Since this result, many contributions have been made in
probability and ergodic theory using the spectral properties of
quasi-compact operators. Quasi-compactness for strongly convergent
semigroups and its relation to uniform ergodicity and to the asymptotic
behaviour of the solutions of abstract Cauchy problems is also studied.

In this talk we investigate quasi-compactness of operator nets on KB-spaces
which is equivalent to uniform convergence. Moreover we study the uniform
ergodicity condition of a single operator or operator semigroups.

References:

1. Erkurşun Özcan, Nazife, Quasi-compactness and uniform convergence of
Markov operator nets on KB-spaces, accepted

2010 Mathematics Subject Classification: 47A35, 47B65, 46B42, 47D03, 47L05

NOT: Konuşma sonunda çay ve pasta ikramı olacaktır.

(P.S.  Tea and cookies will be served after the talk.)


  Mesut Sahin
  Associate Professor
  Department of Mathematics
  Hacettepe University
  TR 06800 Beytepe
  ANKARA - TURKEY
 http://yunus.hacettepe.edu.tr/~mesut.sahin
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