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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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