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RISS 인기검색어
- 검색키워드
- 저자 : T. Yazdanpanah (검색결과 2 건)
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$n$-weak amenability and strong double limit property
A.R. Medghalchi,T. Yazdanpanah 대한수학회 2005 대한수학회보 Vol.42 No.2
Let {mathcal A} be a Banach algebra, we say that {mathcalA}has the strongly double limit property (SDLP) if for each boundednet (a_{alpha}) in {mathcal A} and each bounded net(a^*_{beta}) in {mathcal A}^*, lim_{alpha}lim_{beta}leftlangle a_{alpha} , a^*_{beta}rightrangle = lim_{beta} lim_{alpha} leftlangle a_{alpha}, a^*_{beta} rightrangle whenever both iterated limits exist. In this paperamong other results we show that if {mathcal A} has the SDLP and{mathcal A}^{**} is (n-2)-weakly amenable, then {mathcal A} isn-weakly amenable. In particular, it is shown that if {mathcalA}^{**} is weakly amenable and {mathcal A} has the SDLP, then ${\mathcal A}$ is weakly amenable
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n-WEAK AMENABILITY AND STRONG DOUBLE LIMIT PROPERTY
MEDGHALCHI, A.R.,YAZDANPANAH, T. Korean Mathematical Society 2005 대한수학회보 Vol.42 No.2
Let A be a Banach algebra, we say that A has the strongly double limit property (SDLP) if for each bounded net $(a_\alpha)$ in A and each bounded net $(a^{\ast}\;_\beta)\;in\;A^{\ast},\;lim_\alpha\;lim_\beta<a_\alpha,\;a^{\ast}\;_\beta>=lim_\beta\;lim_\alpha<a_\alpha,\;a^{\ast}\;_\beta>$ whenever both iterated limits exist. In this paper among other results we show that if A has the SDLP and $A^{\ast\ast}$ is (n - 2)-weakly amenable, then A is n-weakly amenable. In particular, it is shown that if $A^{\ast\ast}$ is weakly amenable and A has the SDLP, then A is weakly amenable.
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