منابع مشابه
Single Elements of Finite Csl Algebras
An element s of an (abstract) algebra A is a single element of A if asb = 0 and a, b ∈ A imply that as = 0 or sb = 0. Let X be a real or complex reflexive Banach space, and let B be a finite atomic Boolean subspace lattice on X, with the property that the vector sum K +L is closed, for every K,L ∈ B. For any subspace lattice D ⊆ B the single elements of Alg D are characterised in terms of a coo...
متن کاملFunctional identities of degree 2 in CSL algebras
Let $mathscr{L}$ be a commutative subspace lattice generated by finite many commuting independent nests on a complex separable Hilbert space $mathbf{H}$ with ${rm dim}hspace{2pt}mathbf{H}geq 3$, ${rm Alg}mathscr{L}$ the CSL algebra associated with $mathscr{L}$ and $mathscr{M}$ be an algebra containing ${rm Alg}mathscr{L}$. This article is aimed at describing the form of additive mapppi...
متن کاملOn Elements in Algebras Having Finite Number of Conjugates
Let R be a ring with unity and U(R) its group of units. Let ∆U = {a ∈ U(R) | [U(R) : CU(R)(a)] < ∞} be the FC-radical of U(R) and let ∇(R) = {a ∈ R | [U(R) : CU(R)(a)] < ∞} be the FC-subring of R. An infinite subgroup H of U(R) is said to be an ω-subgroup if the left annihilator of each nonzero Lie commmutator [x, y] in R contains only finite number of elements of the form 1− h, where x, y ∈ R ...
متن کاملamenability of banach algebras
chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
15 صفحه اولElements of Sequence Algebras
Our object in this article is to consider the structure of Hadamard topological algebras. Linear forms, Hadamard homomorphisms and units are determined, as well as properties of principal, maximal and prime ideals. AMS Mathematics Subject Classification (2000): 46G20, 46A32, 32E25, 26A33
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2000
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-00-05714-2