Open
problems raised at the Workshop in Analysis and Probability
The problems here were either submitted specifically for the
purpose of inclusion in this page, or were taken from talks given
during the Workshop in Linear Analysis and Probability.
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version of the file.
Problem #1 (Submitted by Leonid Kovalev)
Suppose there exist uniformly continuous map $\phi : S_{X}\to S_{X^*}$ (not necessarily onto)
such that $\displaystyle \langle x,\phi (x)\rangle \geq \delta > 0$ for every $x\in S_X$.
Is $X$ superreflexive?
Problem #2 (Submitted by Brett Wick)
Below {\it bsr} refers to Bass Stable Rank.
Is it true that {\it bsr}$(A_R(D)) = 2$? Also is it true that {\it bsr}$(H_R^\infty(D)) = 2$?