Document Details

Document Type : Article In Journal 
Document Title :
On the Euler sequence spaces which include the spaces l(p) and l infinity II
On the Euler sequence spaces which include the spaces l(p) and l infinity II
 
Document Language : Arabic 
Abstract : By e(p)(r), we mean the space of all sequences whose Euler transforms of order r are in the sequence spaces l(p) and l(infinity) (see [B. Allay, F. Basar, M. Mursaleen, On the Euler sequence spaces which include the spaces l(p) and l infinity I, Inform. Sci. (2005) (in press)]), where 1 < p < infinity. In the present paper, we essentially characterize the classes (e(p)(r) : l infinity), (e(l)(r) : l(p)) and (e(p)(r) : f) of infinite matrices for 1 < p <= infinity and give the characterizations of some other matrix mappings from the space er to the Euler, Riesz, difference, etc., sequence spaces, by means of a given basic lemma. We devote the final section of the paper to examining some geometric properties of the space e(p)(r). (c) 2005 Elsevier Ltd. All rights reserved. 
Journal Name : NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 
Volume : 65 
Issue Number : 3 
Publishing Year : 2006 AH  
Added Date : Tuesday, June 17, 2008 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
.Mursaleen, MResearcher  
.(Basar, FResearcher  
.Altay, BResearcher  

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