منابع مشابه
On dimensions of derived algebra and central factor of a Lie algebra
Some Lie algebra analogues of Schur's theorem and its converses are presented. As a result, it is shown that for a capable Lie algebra L we always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- porting our results.
متن کاملWeak amenability of (2N)-th dual of a Banach algebra
In this paper by using some conditions, we show that the weak amenability of (2n)-th dual of a Banach algebra A for some $ngeq 1$ implies the weak amenability of A.
متن کاملStructure of Certain Banach Algebra Products
Let and be Banach algebras, , and . We define an -product on which is a strongly splitting extension of by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenability and weak amenability of these products.
متن کاملOn the Banach Algebra
We give some properties of the Banach algebra of bounded operators (lp(α)) for 1≤ p≤∞, where lp(α)= (1/α)−1∗lp . Then we deal with the continued fractions and give some properties of the operator ∆h for h > 0 or integer greater than or equal to one mapping lp(α) into itself for p ≥ 1 real. These results extend, among other things, those concerning the Banach algebra Sα and some results on the c...
متن کاملArens regularity and cohomological properties of Banach lattice algebra
A Banach lattice algebra is a Banach lattice, an associative algebra with a sub-multiplicative norm and the product of positive elements should be positive. In this note we study the Arens regularity and cohomological properties of Banach lattice algebras.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1954
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.40.10.994