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age 26
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seen Jul 30 at 5:54

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
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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
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Nov
5
revised Bounded approximate identity and kernel of algebra homomorphism
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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?
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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?