Title of article :
On compact operators and some Euler -difference sequence spaces
Author/Authors :
Kara، نويسنده , , Emrah Evren and Ba?arir، نويسنده , , Metin، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2011
Pages :
13
From page :
499
To page :
511
Abstract :
Altay and Başar (2005) [1] and Altay, Başar and Mursaleen (2006) [2] introduced the Euler sequence spaces e 0 t , e c t and e ∞ t . Başarır and Kayıkçı (2009) [3] defined the B ( m ) -difference matrix and studied some topological and geometric properties of some generalized Riesz B ( m ) -difference sequence space. In this paper, we introduce the Euler B ( m ) -difference sequence spaces e 0 t ( B ( m ) ) , e c t ( B ( m ) ) and e ∞ t ( B ( m ) ) consisting of all sequences whose B ( m ) -transforms are in the Euler spaces e 0 t , e c t and e ∞ t , respectively. Moreover, we determine the α-, β- and γ-duals of these spaces and construct the Schauder basis of the spaces e 0 t ( B ( m ) ) and e c t ( B ( m ) ) . Finally, we characterize some matrix classes concerning the spaces e 0 t ( B ( m ) ) and e c t ( B ( m ) ) and give the characterization of some classes of compact operators on the sequence spaces e 0 t ( B ( m ) ) and e ∞ t ( B ( m ) ) .
Keywords :
Compact operators , Hausdorff measure of noncompactness , ?-?- and ?-duals , B ( m ) -difference sequence spaces , Schauder basis , Matrix transformations
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2011
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
1561815
Link To Document :
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