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http://dx.doi.org/10.11568/kjm.2019.27.4.949

MATRIX TRANSFORMATIONS AND COMPACT OPERATORS ON THE BINOMIAL SEQUENCE SPACES  

BISGIN, Mustafa Cemil (Department of Mathematics Recep Tayyip Erdogan University)
Publication Information
Korean Journal of Mathematics / v.27, no.4, 2019 , pp. 949-968 More about this Journal
Abstract
In this work, we characterize some matrix classes concerning the Binomial sequence spaces br,s∞ and br,sp, where 1 ≤ p < ∞. Moreover, by using the notion of Hausdorff measure of noncompactness, we characterize the class of compact matrix operators from br,s0, br,sc and br,s∞ into c0, c and ℓ∞, respectively.
Keywords
Matrix Transformations; Matrix Domain; Compact Operators; Hausdorff Measure Of Noncompactness; Matrix Classes;
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