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Continuums of closed ideals in operator algebras

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Ben Wallis, NIU

What
  • Analysis Seminar
When Fri, Nov 14, 2014
from 03:10 PM to 04:00 PM
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We show that each of the operator algebras L(L_1[0,1]), L(L_\infty[0,1]), L(l_p+l_\infty) (1\leq p\leq\infty), and L(l_1+l_q) (1<q\leq\infty) admits an uncountable continuum of closed ideals. This answers questions of Pietsch (1978) and Schlumprecht/Zsak (2014). We also study the initial problem out of which these techniques grew.
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