عنوان
|
"On
$\phi$-Biflatness-like properties of certain Banach algebras with
applications
|
نوع پژوهش
|
مقاله چاپشده در مجلات علمی
|
کلیدواژهها
|
Left φ-biflat, Segal algebra, Lipschitz algebra, Locally compact group.
|
چکیده
|
. In this paper left φ-biflatness of abstract Segal algebras is investigated. For a locally compact group G, we show that any abstract Segal algebra with respect to L 1 (G) is left φ-biflat if and only if the underlying group G is amenable. We then prove that the Lipschitz algebras Lipα (X) and lipα (X) are left C-φ-biflat if and only if X is finite. Finally, we also study left φ-biflatness of lower triangular matrix algebras.
|
پژوهشگران
|
سلاله سلیمی (نفر اول)، امین محمودی (نفر دوم)، امیر سهامی (نفر سوم)، مهدی رستمی (نفر چهارم)
|