bio | website | |
---|---|---|
location | ||
age | 26 | |
visits | member for | 2 years, 1 month |
seen | Jul 30 at 5:54 | |
stats | profile views | 418 |
Nov 7 |
comment |
Weak amenability and quasi central bounded approximate identity
Thank u so much Alvin, You really helped me. It was true! |
Nov 7 |
awarded | Commentator |
Nov 7 |
comment |
Bounded approximate identity and kernel of algebra homomorphism
Every ideal with quasi-central bounded approximate identity in weakly amenable Banach algebras, has trace extension property, so it is weakly amenable! |
Nov 6 |
accepted | Bounded approximate identity and kernel of algebra homomorphism |
Nov 6 |
revised |
Weak amenability and quasi central bounded approximate identity
added 5 characters in body |
Nov 6 |
asked | Weak amenability and quasi central bounded approximate identity |
Nov 6 |
comment |
Bounded approximate identity and kernel of algebra homomorphism
No, I want to ker(T) has a bounded approximate identity. In particular, when A is weakly amenable and has a quasi-central bounded approximate identity, I want to see ker(T) has a bounded approximate identity! |
Nov 5 |
comment |
Bounded approximate identity and kernel of algebra homomorphism
Thanks ALVIN. $\cal A$ is not amenable, but $\cal A$ is weakly amenable and has a quasi-central bounded approximate identity. What do you think about it? |
Nov 5 |
revised |
Bounded approximate identity and kernel of algebra homomorphism
added 4 characters in body |
Nov 5 |
revised |
Bounded approximate identity and kernel of algebra homomorphism
added 44 characters in body |
Nov 4 |
asked | Bounded approximate identity and kernel of algebra homomorphism |
Jun 28 |
accepted | When can we “displace” an ultrafilter limit with another limit? |
Jun 27 |
comment |
When can we “displace” an ultrafilter limit with another limit?
If we can prove above notion, we see that for every $\phi\in \Delta_{\cal A}$, $\phi$-amenability is equivalent to ultra $\phi$-amenability. We say $\cal A$ is ultra $\phi$-amenable if for every ultrafilter $\cal U$, $(\cal A)_{\cal U}$ is $(\phi)_{\cal U}$-amenable. |
Jun 27 |
comment |
When can we “displace” an ultrafilter limit with another limit?
And I mean that $a_i\in \cal A$ for all $i\in F$ and $\cal U$ is a free ultrafilter on the index set $F$, and both nets are bounded. Thanks.... |
Jun 27 |
comment |
When can we “displace” an ultrafilter limit with another limit?
Yes, I want to study ultra $\phi$-amenability and ultra character amenability. I want to show that if $\phi\in \Delta_{\cal A}$, and $\cal A$ is $\phi$-amenable, then $(\cal A)_{\cal U}$ is $(\phi)_{\cal U}$-amenable, for every ultrafilter $\cal U$. But I confront to interchanging limits. |
Jun 27 |
comment |
When can we “displace” an ultrafilter limit with another limit?
In uniformly convergence, we can displace limit operators. My goal is only inform that is this true when one of the limits is the ultrafilter limit? (because behavior of ultrafilter limit, is different from the other limits.), thank you so much. |
Jun 27 |
comment |
When can we “displace” an ultrafilter limit with another limit?
It isnt for master theses! |
Jun 27 |
revised |
When can we “displace” an ultrafilter limit with another limit?
deleted 12 characters in body |
Jun 27 |
comment |
When can we “displace” an ultrafilter limit with another limit?
In which cases this notion can be true? |
Jun 27 |
asked | When can we “displace” an ultrafilter limit with another limit? |