<div dir="ltr">Merhabalar,<div><br></div><div>07.04.2021 tarihinde saat 13.15 te Uşak Üniversitesinden Dr. Öğr. Üyesi Onur Oktay başlık ve özeti aşağıda verilen bir konuşma yapacaktır. Seminer Zoom programı üzerinden online yapılacaktır. Katılmak isteyenlerin katılım bilgilerini alabilmeleri için "<a href="mailto:huseyinuysal@istanbul.edu.tr" target="_blank">huseyinuysal@istanbul.edu.tr</a> " adresine mail atmaları gerekmektedir.<span style="font-family:tahoma,sans-serif"> </span></div><div><span style="font-family:tahoma,sans-serif"><br></span></div><div><span style="font-family:tahoma,sans-serif"><br></span></div><div><div style="margin:0px;padding:0px 0px 20px;width:1290.67px;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:medium"><div><div id="gmail-m_4952887864235245537gmail-:1a6" style="font-size:0.875rem;direction:ltr;margin:8px 0px 0px;padding:0px"><div id="gmail-m_4952887864235245537gmail-:1a5" style="overflow:hidden;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:small;line-height:1.5;font-family:Arial,Helvetica,sans-serif"><div dir="ltr"><div><div><span style="font-family:tahoma,sans-serif">------------------------------</span><span style="font-family:tahoma,sans-serif">------------------------------</span> <br></div><div><div><div style="color:rgb(0,0,0)"><b>Başlık:</b>Products of Weakly Null Sequences in a Banach Algebra<b><br></b><br><b>Özet: </b> <span style="color:rgb(34,34,34)">Let A be a Banach algebra, (xn) and (yn) be two weakly null</span></div>sequences in A. In this talk, we are looking for an answer to the problem how<br>the sequences (xnyn) behave weakly. When A has a special algebra structure<br>(e.g., commutative C*-algebras) and/or special Banach space properties (e.g.,<br>Dunford-Pettis property), then one can show that (xnyn) is also weakly null.<br>However, this is not always the case. Surprisingly, there is no general treatment<br>of this problem in the literature, to the best of our knowledge. We also tie this<br>problem in with an unsolved conjecture: Reflexive amenable Banach algebras<br>are finite dimensional.<br>Our aim is not only to present this problem to a general audience, but also<br>to look for answers and constructive criticism from the experts in the field.<br><div style="color:rgb(0,0,0)"><span style="color:rgb(34,34,34)"><br></span></div><div style="color:rgb(0,0,0)"><div style="margin:0px;padding:0px 0px 20px;width:568px;color:rgb(34,34,34);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:medium"><div><div id="gmail-m_4952887864235245537gmail-m_6474908973968105319gmail-:nr" style="font-size:0.875rem;direction:ltr;margin:8px 0px 0px;padding:0px"><div id="gmail-m_4952887864235245537gmail-m_6474908973968105319gmail-:ns" style="overflow:hidden;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:small;line-height:1.5;font-family:Arial,Helvetica,sans-serif"><div dir="ltr"><div><div><div style="color:rgb(0,0,0)"><span style="color:rgb(34,34,34);font-family:tahoma,sans-serif">------------------------------</span><span style="color:rgb(34,34,34);font-family:tahoma,sans-serif">------------------------------</span><br>.</div><div></div><div style="color:rgb(0,0,0)"><br></div></div><div>İyi günler dileğiyle,</div><div><br></div><div>Temha</div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div>
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