Köthe-Toeplitz Duals of some new Sequence Spaces and Their Matrix Maps
Z.U. Ahmad, Mursaleen (1987)
Publications de l'Institut Mathématique
А.А. Толстоногов (1999)
Sibirskij matematiceskij zurnal
Xavier Dussau (2002)
Bulletin de la Société Mathématique de France
Nous prouvons l’hyper-réflexivité du shift bilatéral sur , lorsque le poids vérifie for et .
Zapiski naucnych seminarov Leningradskogo
Charles W. Swartz (1975)
Czechoslovak Mathematical Journal
Bernd Carl, Thomas Kühn (1985)
Revista Matemática Iberoamericana
In the paper local entropy moduli of operators between Banach spaces are introduced. They constitue a generalization of entropy numbers and moduli, and localize these notions in an appropriate way. Many results regarding entropy numbers and moduli can be carried over to local entropy moduli. We investigate relations between local entropy moduli and s-numbers, spectral properties, eigenvalues, absolutely summing operators. As applications, local entropy moduli of identical and diagonal operators...
Houimdi, Mohamed, Zguitti, Hassane (2005)
International Journal of Mathematics and Mathematical Sciences
R. Lashkaripour, D. Foroutannia (2009)
Czechoslovak Mathematical Journal
In this paper we consider some matrix operators on block weighted sequence spaces . The problem is to find the lower bound of some matrix operators such as Hausdorff and Hilbert matrices on . This study is an extension of papers by G. Bennett, G.J.O. Jameson and R. Lashkaripour.
Rhoades, B.E., Sen, Pali (2006)
International Journal of Mathematics and Mathematical Sciences
Foroutannia, D., Lashkaripour, R. (2007)
Lobachevskii Journal of Mathematics
Norberto Fava (1984)
Studia Mathematica
Schaefer, Paul (1979)
Portugaliae mathematica
de Malafosse, Bruno, Medeghri, Ahmed (2006)
Journal of Inequalities and Applications [electronic only]
E. Malkowsky, V. Rakočević, Snežana Živković (2002)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Karl-Goswin Grosse-Erdmann (1992)
Mathematische Zeitschrift
Karl-Goswin Grosse-Erdmann (1993)
Mathematische Zeitschrift
G. M. Deheri (1993)
Czechoslovak Mathematical Journal
Eberhard Malkowsky, V. Rakočević (2001)
Czechoslovak Mathematical Journal
In this paper we investigate linear operators between arbitrary BK spaces and spaces of sequences that are summable or bounded. We give necessary and sufficient conditions for infinite matrices to map into . Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for to be a compact operator.
De Malafosse, Bruno, Malkowsky, Eberhard, Rakočević, Vladimir (2006)
International Journal of Mathematics and Mathematical Sciences
Violeta Petkova (2013)
Open Mathematics
We study multipliers M (bounded operators commuting with translations) on weighted spaces L ω p (ℝ), and establish the existence of a symbol µM for M, and some spectral results for translations S t and multipliers. We also study operators T on the weighted space L ω p (ℝ+) commuting either with the right translations S t , t ∈ ℝ+, or left translations P +S −t , t ∈ ℝ+, and establish the existence of a symbol µ of T. We characterize completely the spectrum σ(S t ) of the operator S t proving that...