Displaying 561 – 580 of 1121

Showing per page

Some λ -sequence spaces defined by a modulus

Eberhard Malkowsky, Ekrem Savaş (2000)

Archivum Mathematicum

The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vallée–Poussin means and the concept of a modulus function.

Somewhere dense Cesàro orbits and rotations of Cesàro hypercyclic operators

George Costakis, Demetris Hadjiloucas (2006)

Studia Mathematica

Let T be a continuous linear operator acting on a Banach space X. We examine whether certain fundamental results for hypercyclic operators are still valid in the Cesàro hypercyclicity setting. In particular, in connection with the somewhere dense orbit theorem of Bourdon and Feldman, we show that if for some vector x ∈ X the set Tx,T²/2 x,T³/3 x, ... is somewhere dense then for every 0 < ε < 1 the set (0,ε)Tx,T²/2 x,T³/3 x,... is dense in X. Inspired by a result of Feldman, we also prove...

Somme Ponctuelle D'operateurs Maximaux Monotones Pointwise Sum of two Maximal Monotone Operators

Attouch, H., Riahi, H., Théra, M. (1996)

Serdica Mathematical Journal

∗ Cette recherche a été partiellement subventionnée, en ce qui concerne le premier et le dernier auteur, par la bourse OTAN CRG 960360 et pour le second auteur par l’Action Intégrée 95/0849 entre les universités de Marrakech, Rabat et Montpellier.The primary goal of this paper is to shed some light on the maximality of the pointwise sum of two maximal monotone operators. The interesting purpose is to extend some recent results of Attouch, Moudafi and Riahi on the graph-convergence of maximal monotone...

Sottospazi invarianti per operatori lineari T-invarianti rispetto ad un gruppo di omeomorfismi

Lucilla Bassotti Rizza (1986)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Theory of T -invariant linear operators which was considered for a group of congruences [2], [3] is now extended to a group of homeomorphisms. An analysis is carried out in order to establish to what extent the main results of the previous theory still hold under the actual very general assumptions.

Sous-espaces biinvariants pour certains shifts pondérés

O. El-Fallah, Karim Kellay (1998)

Annales de l'institut Fourier

Nous étudions les sous-espaces biinvariants du shift usuel sur les espaces à poids L ω 2 = f L 2 ( 𝕋 ) : f ω = n | f ( n ) | ω 2 ( n ) 1 / 2 &lt; + , ω ( n ) = ( 1 + n ) p , n 0 et ω ( n ) ( 1 + | n | ) p n - + , pour un certain entier p 1 . Nous montrons que la trace analytique de tout sous-espace biinvariant est de type spectral, lorsque n 2 1 n log ω ( - n ) diverge, mais que ceci n’est plus valable lorsque n 2 1 n log ω ( - n ) converge.

Sous-espaces fermés de séries universelles sur un espace de Fréchet

Quentin Menet (2011)

Studia Mathematica

We improve a result of Charpentier [Studia Math. 198 (2010)]. We prove that even on Fréchet spaces with a continuous norm, the existence of only one restrictively universal series implies the existence of a closed infinite-dimensional subspace of restrictively universal series.

Sous-normalité jointe non bornée et applications

Olivier Demanze (2005)

Studia Mathematica

T. Trent gave a new characterization of subnormality for an operator on a Hilbert space. T. Bînzar and D. Păunescu generalized this condition to commuting triples of operators. Here, we give an n-variable unbounded version of the above results. Theorems of this kind have also been obtained by Z. J. Jabłoński and J. Stochel.

Currently displaying 561 – 580 of 1121