User habujew - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T08:42:05Z http://mathoverflow.net/feeds/user/19732 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/82825/c-0-direct-sum-of-mathcalk-mathcalh $c_0$-direct sum of $\mathcal{K}(\mathcal{H})$ Habujew 2011-12-06T21:30:32Z 2011-12-06T23:30:19Z <p>Let $\mathcal{K}(\mathcal{H})$ be the C*-algebra of compact operators on a Hilbert space $\mathcal{H}$. I am interested in the ($c_0$-)sum </p> <p>$A=\sum \mathcal{K}(\mathcal{H})$ </p> <p>of countably many copies of this algebra.</p> <p>Is it *-isomorphic to $\mathcal{K}(\mathcal{H})$ itself? Or at least as a Banach space?</p> http://mathoverflow.net/questions/82642/well-ordered-cofinal-subsets Well-ordered cofinal subsets Habujew 2011-12-04T19:32:04Z 2011-12-05T13:45:40Z <p>Let $(P, \leq)$ be a total ordering (some of you prefer the name <em>linear order</em>). Can we find a subset $R\subseteq P$ which is well ordered (with respect to $\leq\upharpoonright R$) and cofinal in $P$, that is for each $p\in P$ there is $r\in R$ such that $p\leq r$?</p> http://mathoverflow.net/questions/82825/c-0-direct-sum-of-mathcalk-mathcalh/82831#82831 Comment by Habujew Habujew 2011-12-06T23:35:29Z 2011-12-06T23:35:29Z Brilliant, thank you.