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a note on zero lie product determined nest algebras as banach algebras
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نویسنده
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ghahramani hoger ,fallahi kamal ,khodakarami wania
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منبع
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wavelets and linear algebra - 2021 - دوره : 8 - شماره : 1 - صفحه:1 -6
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چکیده
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A banach algebra $a$ is said to be zero lie product determined banach algebra if for every continuous bilinear functional $phi:a times arightarrow mathbb{c}$ 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 $a,bin a$. we show that any finite nest algebra over a complex hilbert space is a zero lie product determined banach algebra.
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کلیدواژه
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zero lie product determined banach algebra ,nest algebra ,weakly amenable banach algebra
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آدرس
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university of kurdistan, faculty of science, department of mathematics, iran, payame noor university university of technology, department of mathematics, iran, university of kurdistan, faculty of science, department of mathematics, iran
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پست الکترونیکی
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wania.khodakarami@gmail.com
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A note on zero Lie product determined nest algebras as Banach algebras
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Authors
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Abstract
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Keywords
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