most recent 30 from http://mathoverflow.net 2013-05-25T04:30:08Z http://mathoverflow.net/feeds/question/53777 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/53777/lifting-of-product-of-a-banach-algebra BigBill 2011-01-30T12:11:12Z 2011-01-30T12:52:40Z

<p>Let $A$ be a non unital Banach algebra. The product induces a bounded linear map $T:A \otimes_{\gamma} A\to A$ where $\otimes_\gamma$ denotes the Banach projective tensor product.</p> <p>A lifting of $T$ is a bounded linear map $L:A\to A \otimes_{\gamma} A$ such that $TL=Id_{A}$. </p> <blockquote> Do you know a charaterization or examples of algebras which admits a such lifting? </blockquote> <p>Any reference on this problem or explicit examples is welcome.</p> <p>UPDATE: I added non unital.</p>