Displaying 281 – 300 of 2299

Showing per page

Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces

M. Brundin (2007)

Czechoslovak Mathematical Journal

If the Poisson integral of the unit disc is replaced by its square root, it is known that normalized Poisson integrals of L p and weak L p boundary functions converge along approach regions wider than the ordinary nontangential cones, as proved by Rönning and the author, respectively. In this paper we characterize the approach regions for boundary functions in two general classes of Orlicz spaces. The first of these classes contains spaces L Φ having the property L L Φ L p , 1 p < . The second contains spaces L Φ that...

Approximate amenability for Banach sequence algebras

H. G. Dales, R. J. Loy, Y. Zhang (2006)

Studia Mathematica

We consider when certain Banach sequence algebras A on the set ℕ are approximately amenable. Some general results are obtained, and we resolve the special cases where A = p for 1 ≤ p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras p ( ω ) .

Approximate and weak amenability of certain Banach algebras

P. Bharucha, R. J. Loy (2010)

Studia Mathematica

The notions of approximate amenability and weak amenability in Banach algebras are formally stronger than that of approximate weak amenability. We demonstrate an example confirming that approximate weak amenability is indeed actually weaker than either approximate or weak amenability themselves. As a consequence, we examine the (failure of) approximate amenability for p -sums of finite-dimensional normed algebras.

Approximate diagonals and Følner conditions for amenable group and semigroup algebras

Ross Stokke (2004)

Studia Mathematica

We study the relationship between the classical invariance properties of amenable locally compact groups G and the approximate diagonals possessed by their associated group algebras L¹(G). From the existence of a weak form of approximate diagonal for L¹(G) we provide a direct proof that G is amenable. Conversely, we give a formula for constructing a strong form of approximate diagonal for any amenable locally compact group. In particular we have a new proof of Johnson's Theorem: A locally compact...

Approximation et transfert d'opérateurs de convolution

Noël Lohoué (1976)

Annales de l'institut Fourier

Soient G 1 et G 2 deux groupes abéliens localement compacts de dual Γ 1 et Γ 2 . Soit h : Γ 1 Γ 2 un homomorphisme continu d’image dense de Γ 1 dans Γ 2 . Soit 1 p  ; on prouve un théorème d’approximation des multiplicateurs de F L p ( G 2 ) et on utilise ce résultat pour démontrer le suivant : soit m : Γ 2 C une fonction continue ; m est un multiplicateur de F L p ( G 2 ) si, et seulement si, m h est un multiplicateur de F L p ( G 1 ) .

Currently displaying 281 – 300 of 2299