All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 29

Showing per page

Maps preserving zero products

J. Alaminos, M. Brešar, J. Extremera, A. R. Villena (2009)

Studia Mathematica

A linear map T from a Banach algebra A into another B preserves zero products if T(a)T(b) = 0 whenever a,b ∈ A are such that ab = 0. This paper is mainly concerned with the question of whether every continuous linear surjective map T: A → B that preserves zero products is a weighted homomorphism. We show that this is indeed the case for a large class of Banach algebras which includes group algebras. Our method involves continuous bilinear maps ϕ: A × A → X (for some Banach space X) with the property...

Module maps over locally compact quantum groups

Zhiguo Hu, Matthias Neufang, Zhong-Jin Ruan (2012)

Studia Mathematica

We study locally compact quantum groups and their module maps through a general Banach algebra approach. As applications, we obtain various characterizations of compactness and discreteness, which in particular generalize a result by Lau (1978) and recover another one by Runde (2008). Properties of module maps on L ∞ ( ) are used to characterize strong Arens irregularity of L₁() and are linked to commutation relations over with several double commutant theorems established. We prove the quantum group...

Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires

Sami Mustapha (1998)

Annales de l'institut Fourier

On montre, pour une classe particulière de groupes non-unimodulaires G = N ⋌ ℝ , où N est un groupe de Lie stratifié et où l’action de ℝ est définie par les dilatations naturelles de N , et pour les sous-laplaciens invariants à gauche correspondants Δ , que toute fonction m ∈ H 2 + ϵ ( ℝ ) possédant un support compact dans ℝ + définit un opérateur m ( Δ ) borné sur les espaces de Lebesgue L p ( G , d r g ) associés à la mesure de Haar invariante à droite sur G , 1 ≤ p ≤ ∞ .

Currently displaying 1 – 20 of 29

Page 1 Next