User albert harold - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T00:57:31Z http://mathoverflow.net/feeds/user/27066 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/128579/trace-extention-property Trace extention property Albert harold 2013-04-24T06:22:11Z 2013-05-11T12:47:43Z <p>Let $\cal A$ be a weak amenable Banach algebra and $T:\cal A \to \cal B$ be a surjective homomorphism ($\cal B$ is a Banach algebra). Dose ker(T) has the trace extention property in general?</p> http://mathoverflow.net/questions/130324/character-amenability Character amenability Albert harold 2013-05-11T08:45:36Z 2013-05-11T12:46:01Z <p>Hello</p> <p>1)IS ANY relationship between character amenability and weak amenability of Banach algebras?....</p> <p>If a Banach $A$ is amenable then $A$ is $\phi$-amenable for every $\phi\in \Delta(A)$, but converse is not true, because for example let $G$ be a locally compact group and $A(G)$ is a Fourier algebra on $G$. Fourier algebra $A(G)$ is character amenable but it is not amenable even when $G$ is compact.</p> <p>2)Can you give me another example of a Banach algebra that is character amenable but it is not amenable??</p> <p>Thank you</p> http://mathoverflow.net/questions/110022/ultrapowers-of-banach-algebras ultrapowers of Banach algebras Albert harold 2012-10-18T16:31:23Z 2012-10-19T01:56:52Z <p>Let $A$ be an infinite dimentional faithful Banach algebra and $U$ be a free ultrafilter. Can we have $(A)_U$ is faithful??</p> http://mathoverflow.net/questions/109094/ultrapowers-of-banach-algebras ultrapowers of Banach algebras Albert harold 2012-10-07T19:33:12Z 2012-10-07T20:17:28Z <p>Let $A$ ba a Banach algebra and $u$ be an arbitrary free ultrafilter. Let $A^{\bullet}$ be the unitization of $A$. Can we have <code>$((A)_{u})^{\bullet} = (A^{\bullet})_{u}$</code>?</p>