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Displaying 4441 – 4460 of 13227

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Groupes fondamentaux des variétés de dimension 3 et algèbres d’opérateurs

Pierre de la Harpe, Jean-Philippe Préaux (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

Nous proposons une caractérisation géométrique des variétés de dimension  3 ayant des groupes fondamentaux dont toutes les classes de conjugaison autres que  { 1 } sont infinies, c’est-à-dire dont les algèbres de von Neumann sont des facteurs de type  I I 1   : ce sont essentiellement les 3 -variétés à groupes fondamentaux infinis qui n’admettent pas de fibration de Seifert. Autrement dit et plus précisément, soient  M une 3 -variété connexe compacte et Γ son groupe fondamental, qu’on suppose être infini et avec...

Growth and smooth spectral synthesis in the Fourier algebras of Lie groups

Jean Ludwig, Lyudmila Turowska (2006)

Studia Mathematica

Let G be a Lie group and A(G) the Fourier algebra of G. We describe sufficient conditions for complex-valued functions to operate on elements u ∈ A(G) of certain differentiability classes in terms of the dimension of the group G. Furthermore, generalizing a result of Kirsch and Müller [Ark. Mat. 18 (1980), 145-155] we prove that closed subsets E of a smooth m-dimensional submanifold of a Lie group G having a certain cone property are sets of smooth spectral synthesis. For such sets we give an estimate...

Growth of coefficients of universal Dirichlet series

A. Mouze (2007)

Annales Polonici Mathematici

We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.

H 1 -BMO duality on graphs

Emmanuel Russ (2000)

Colloquium Mathematicae

On graphs satisfying the doubling property and the Poincaré inequality, we prove that the space H m a x 1 is equal to H a t 1 , and therefore that its dual is BMO. We also prove the atomic decomposition for H m a x p for p ≤ 1 close enough to 1.

H functional calculus in real interpolation spaces

Giovanni Dore (1999)

Studia Mathematica

Let A be a linear closed densely defined operator in a complex Banach space X. If A is of type ω (i.e. the spectrum of A is contained in a sector of angle 2ω, symmetric around the real positive axis, and λ ( λ I - A ) - 1 is bounded outside every larger sector) and has a bounded inverse, then A has a bounded H functional calculus in the real interpolation spaces between X and the domain of the operator itself.

H functional calculus in real interpolation spaces, II

Giovanni Dore (2001)

Studia Mathematica

Let A be a linear closed one-to-one operator in a complex Banach space X, having dense domain and dense range. If A is of type ω (i.e.the spectrum of A is contained in a sector of angle 2ω, symmetric about the real positive axis, and | | λ ( λ I - A ) - 1 | | is bounded outside every larger sector), then A has a bounded H functional calculus in the real interpolation spaces between X and the intersection of the domain and the range of the operator itself.

Currently displaying 4441 – 4460 of 13227