[Turkmath:7976] Yeditepe Universitesi Matematik Bolumu Semineri, 1 Kasim 2011/Departmental Seminer at Yeditepe University, November 1, 2011

[Itır Mogultay]

Degerli Liste Uyeleri;

Yeditepe Universitesi Matematik Bolumu Seminerleri kapsaminda 1 Kasim Sali gunu Sabanci Universitesi Matematik Bolumu Ogretim Gorevlisi Yard. Doc. Dr. Nihat Gokhan Gogus  konusmaci olacaktir.  Konusma ile ilgili detayli bilgi asagidadir:

Gun: 1 Kasim, Sali, 2pm-3pm.
Yer: Yeditepe Universitesi Matematik Bolumu Seminer Odasi.
Konusmaci: Nihat Gokhan Gogus,  Sabanci Universitesi

Baslik :  Operator valued mappings and complex analysis

Ozet: Recently quite a few papers are written about harmonic mappings which
take their values in infinite dimensional spaces. Recently P. Enflo and L.
Smithies completely described harmonic compact operator-valued functions
by having harmonic diagonal matrix coe¢ cients in any choice of basis. Us-
ing this characterization they provided an analog of Harnack's theorem for
compact operator-valued harmonic functions. Later E. Jorda extended the
Harnack's theorem to non-decreasing harmonic functions with values in an
arbitrary family of bounded linear self-adjoint operators on a Hilbert space.
In this talk we will give a proof of a slightly more general Harnack's theo-
rem for mappings using the classical approach: First we establish Harnack's
inequality. We will mention a new approach of using various orders on the
class of self-adjoint operators to extend classical results of complex analysis
to operator valued mappings.


Saygilarimla;
ITIR MOGULTAY.

___________________________________________________________________________

Dear Group Members;

On November 1st, 2011,  Tuesday, our seminar speaker at the Department of Mathematics, Yeditepe University,  will be  Assistant  Prof. "Nihat Gokhan Gogus" from Sabanci University. The title and the abstract of his talk are given below:

Date: November 1, 2pm-3pm
Place: Seminar room, Department of Mathematics, Yeditepe University
Speaker: Nihat Gokhan Gogus, Sabanci University

Title:  Operator valued mappings and complex analysis

Abstract: Recently quite a few papers are written about harmonic mappings which
take their values in infinite dimensional spaces. Recently P. Enflo and L.
Smithies completely described harmonic compact operator-valued functions
by having harmonic diagonal matrix coe¢ cients in any choice of basis. Us-
ing this characterization they provided an analog of Harnack's theorem for
compact operator-valued harmonic functions. Later E. Jorda extended the
Harnack's theorem to non-decreasing harmonic functions with values in an
arbitrary family of bounded linear self-adjoint operators on a Hilbert space.
In this talk we will give a proof of a slightly more general Harnack's theo-
rem for mappings using the classical approach: First we establish Harnack's
inequality. We will mention a new approach of using various orders on the
class of self-adjoint operators to extend classical results of complex analysis
to operator valued mappings.


Sincerely;
ITIR MOGULTAY.




___________________________________________________

Itır Mogultay
Assistant Professor
Department of Mathematics
Yeditepe University, Turkey

"Bu mesaj (ve ekleri) gizli bilgi içermektedir ve sadece gönderilen kişiye yöneliktir. Bu e-mailin muhatabı değilseniz veya içeriği ile ilginiz yoksa, Yeditepe Üniversitesinin onayı olmaksızın bu mesajın okunması, değiştirilmesi, kopyalanması, üçüncü kişilere açıklanması, yayınlanması, ifşa edilmesi veya iletilmesi yasaktır. Bu mesajın gönderilmek istendiği kişi değilseniz (ya da bu e-posta'yı yanlışlıkla aldıysanız), lütfen yollayan kişiyi hemen haberdar ediniz ve mesajı sisteminizden derhal siliniz. E-mail iletiminin güvenli veya hatasız olduğunun garantisi olmadığından geç veya eksik iletim veya içerik ve bilgilerde eksiklik, kayıp, değişiklik veya virüs olabilir. Bu nedenle, bu mesajın iletiminden dolayı, Yeditepe Üniversitesi , içerikteki hata, eksiklik, doğruluğun ve gizliliğin ihlalinden veya bu yolla bilgi paylaşımı, iletimi, depolanması gibi herhangi bir kullanımından hiçbir şekilde sorumlu değildir. Bu mesajın içeriği yazarına ait olup, Üniversitemizin görüşlerini içermeyebilir.

Bu mesajın içeriğinde geçen Üniversitemizin ad veya nanıma yaratılan fikri ve sınai haklar Üniversitemize ait olup, maddi ve manevi tüm hakları saklıdır.”

“This Message (including any attachments) contains confidential information and is intended only for the individual named. If you are not the named adressee or not related with the content of this Message, you are forbidden to read, disseminate, distribute, copy, reproduce or modify this mail by Yeditepe University. Please notfy the sender immediately if you have received this e-mail by mistake and delete this e-mail from your system. E-mail transmisson can not be guaranteed to be secure or error-free as the mail may arrive late or incomplete or the information could be intercepted, corrupted, lost, destroyed, amended, , or contain viruses. Yeditepe University  therefore does not accept liability for any errors, loss of integrity or confidentiality or ommissions in the contents of this Message or for the information transmission, reception, storage of use of such in any way whatsoever, which arise as a result of e-mail transmission. Any opinions expressed in this message are those of the author and may not necessarily reflect the opinions of Our University.

Copyright in documents created by or on behalf of our University remains vested in us, and we assert all of our moral and intellectual property rights.”

--
This message was scanned by Yeditepe Guvercin and is believed to be clean.