[Turkmath:6892] Mimar Sinan Matematik Bölümü Genel Seminerleri - 2 Nisan 2010

[Mustafa Topkara]

Not: Konusmanın ozeti PDF formatında ektedir.

---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------


Mimar Sinan Güzel Sanatlar Üniversitesi

Matematik Bölümü Genel Seminerleri

* *

*Triangular algebras and non-selfadjoint
extensions of von Neumann algebras
***



*Konuşmacı:*

Mohan Ravichandran

(Sabanci Üniversitesi)


Kadison and Singer introduced the class of Triangular algebras in 1960,
intitiating the systematic study of non-selfadjoint operator algebras. The
prototype of a triangular algebra is the algebra of bounded operators, upper
triangular with respect to a given orthonormal basis in a Hilbert space.
They called a subalgebra *B* of *B(H)* triangular if *B \intersection (B)**
is a maximal abelian self-adjoint subalgebra (masa in short) of *B(H)*. I
will begin the talk with a survey of the theory of triangular algebras.

In a couple of recent papers in the PNAS, Ge and Yuan, seeking a more
intimate connection between non-selfadjoint and self-adjoint algebras,
introduced the class of Kadison-Singer algebras. Given a von Neumann algebra
*M \subset B(H)*, a Kadison-Singer algebra *A* is a maximal reflexive
algebra with diagonal *M*, ie, *A* \intersection A = M*. Kadison-Singer
algebras generalize the most interesting class of triangular algebras and
also generalize the class of nest algebras, which have both been extensively
studied. I will show how the study of these algebras throws up some
tantalizing connections between the theories of non-selfadjoint and von
Neumann algebras.

In this talk, I will construct a large family of examples of Kadison-Singer
algebras, prove structure results and indicate connections to famous
problems in the theory of von Neumann algebras.



*Yer:* 408 No'lu Amfi

MSGSÜ Fen Edebiyat Fakültesi (Beşiktaş)

*Zaman:*  2 Nisan 2010 Cuma, 15:00
-------------- sonraki bölüm --------------
Bir HTML eklentisi temizlendi...
URL: http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20100331/9affe518/attachment-0001.htm 
-------------- sonraki bölüm --------------
Yazı olmayan bir eklenti temizlendi...
İsim: Abstract.pdf
Tür: application/pdf
Boyut: 37607 bayt
Tanım: kullanılamıyor
Url: http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20100331/9affe518/attachment-0001.pdf