<div dir="ltr"><div style="min-height:1em;color:rgb(0,0,0);font-family:Times"><div class="" style="min-height:1em"><p align="center" class="MsoNormal" style="margin-bottom:0.0001pt;text-align:center"><span style="color:rgb(34,34,34);font-family:'Times New Roman';font-size:14pt">Değerli liste üyeleri, aşağıda detayları verilen seminere hepinizi bekliyoruz. </span><span style="color:rgb(34,34,34);font-family:'Times New Roman';font-size:14pt">Hepinizin öğretmenler günü kutlu olsun. </span><span style="color:rgb(34,34,34);font-family:'Times New Roman';font-size:14pt">Mesut. </span></p><p align="center" class="MsoNormal" style="margin-bottom:0.0001pt;text-align:center"><span style="color:rgb(34,34,34);font-family:'Times New Roman';font-size:14pt"> </span></p><p class="MsoNormal" style="margin-bottom:0.0001pt"><b style="text-align:center"><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">Tarih (Date) :</span></b><span lang="TR" style="text-align:center;font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)"> 26.11.2014, Çarşamba (</span><span lang="TR" style="text-align:center;font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">Wednesday</span><span lang="TR" style="text-align:center;font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">) </span></p><p class="MsoNormal" style="margin-bottom:0.0001pt"><b><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">Saat (Time):</span></b><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)"> 15:00</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt"><b><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">Yer (Place):</span></b><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)"> Yaşar ATAMAN Seminer Salonu</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt"></p><p class="MsoNormal" style="margin-bottom:12pt"><b><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">Konuşmacı (Speaker):</span></b><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)"> Yrd. Doç. </span><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">Dr. </span><span style="font-size:14pt">Nazife Erkurşun Özcan</span><span style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)"> <span lang="TR">(</span></span><span style="font-size:14pt">Hacettepe</span><span style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)"> <span lang="TR">Ü</span></span><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">niversitesi)</span></p><p class="MsoNormal" style="margin-bottom:12pt"><b><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">Başlık (Title) :</span></b><span style="font-size:13pt">Quasi-compactness and uniform convergence of Markov operator nets on KB-spaces</span><span style="font-size:12pt"></span></p><p class="MsoNormal" style="margin-bottom:12pt"><b><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">Özet (Abstract) : </span></b><span style="font-size:12pt"></span></p><p class="MsoNormal" style="margin-bottom:12pt"><span style="font-size:13pt">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.</span><span style="font-size:12pt"></span></p><p class="MsoNormal" style="margin-bottom:12pt"><span style="font-size:13pt">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.</span><span style="font-size:12pt"></span></p><p class="MsoNormal" style="margin-bottom:12pt"><span style="font-size:13pt">References:</span><span style="font-size:12pt"></span></p><p class="MsoNormal" style="margin-bottom:12pt"><span style="font-size:13pt">1. Erkurşun Özcan, Nazife, Quasi-compactness and uniform convergence of Markov operator nets on KB-spaces, accepted</span><span style="font-size:12pt"></span></p><p class="MsoNormal" style="margin-bottom:12pt">2010 Mathematics Subject Classification: 47A35, 47B65, 46B42, 47D03, 47L05<span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)"></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt"><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">NOT: Konuşma sonunda çay ve pasta ikramı olacaktır.</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt"><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">(P.S. Tea and </span><span lang="TR" style="font-size:14pt;font-family:'Times New Roman'">cookies will be served after the talk</span><span lang="TR" style="font-size:14pt;font-family:'Times New Roman';color:rgb(34,34,34)">.)</span></p><span style="font-family:arial;color:rgb(34,34,34)"> </span></div></div><div><div class="gmail_signature"><div dir="ltr"><br> Mesut Sahin<div> Associate Professor<br> Department of Mathematics<br> Hacettepe University<br> TR 06800 Beytepe </div><div> ANKARA - TURKEY<br> <a href="http://yunus.hacettepe.edu.tr/~mesut.sahin" target="_blank">http://yunus.hacettepe.edu.tr/~mesut.sahin</a></div></div></div></div>
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