[TurkMath:5439] ODTU-MATH General Seminar

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[TurkMath:5439] ODTU-MATH General Seminar

From: Kostyantyn Zheltukhin <zheltukh_at_metu.edu.tr>
Date: Wed, 16 Apr 2008 14:38:53 +0300
Message-Id: <200804161139.m3GBcxfT028274@tenedos.general.services.metu.edu.tr>

Dear Colleagues,

The speaker of this week's General Seminar is Prof. Dr. Anar Dosiev
(Atilim University) and the title of his talk is

"Hilbert-Schmidt topology of a local operator space"

Abstract: In this talk we discuss Arveson-Wittstock extension theorem

for local operator spaces. We analyze the hidden and subtle part of
the proof of this result. More general overview to these ideas allows

to observe a new reasonable construction. Namely, each local operator

space automatically generates finer polynormed topology called
Hilbert-Schmidt topology on the space of all matrices over the
original space. Furthermore, matrix-valued extension theorem can be
reduced to the classical Hahn-Banach theorem with respect to the
Hilbert-Schmidt topology. By the way we obtain a new proof of
Webster's Hahn-Banach extension theorem. Without any doubt we have got
 
more based upon this construction, but we do not know what exactly
still. All critics are welcome.

Date: Thursday, April 17, 2008
Time:15:40
Place: M. G. Ikeda Seminar Room

Sincerely,
Eduard Emelyanov

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Received on Wed 16 Apr 2008 - 13:53:18 EEST

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