@article {
author = {Ghahramani, Hoger and Fallahi, Kamal and Khodakarami, Wania},
title = {A note on zero Lie product determined nest algebras as Banach algebras},
journal = {Wavelet and Linear Algebra},
volume = {8},
number = {1},
pages = {1-6},
year = {2021},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2020.130358.1293},
abstract = {A Banach algebra $\A$ is said to be zero Lie product determined Banach algebra if for every continuous bilinear functional $\phi:\A \times \A\rightarrow \mathbb{C}$ the following holds: if $\phi(a,b)=0$ whenever $ab=ba$, then there exists some $\tau \in \A^*$ such that $\phi(a,b)=\tau(ab-ba)$ for all $a,b\in \A$. We show that any finite nest algebra over a complex Hilbert space is a zero Lie product determined Banach algebra.},
keywords = {Zero Lie product determined Banach algebra,nest algebra,weakly amenable Banach algebra},
title_fa = {A note on zero Lie product determined nest algebras as Banach algebras},
abstract_fa = {},
keywords_fa = {},
url = {http://wala.vru.ac.ir/article_245222.html},
eprint = {http://wala.vru.ac.ir/article_245222_bba88ea53ec7d84e8f04748e3bd83bb6.pdf}
}