Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 60, Issue 5, Pages 1299-1309Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2010.06.010
Keywords
Matrix domain of a sequence space; beta- and gamma-duals; Schauder basis and matrix transformations
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Let lambda denote any one of the classical spaces l(infinity), c, c(0) and l(p) of bounded, convergent, null and absolutely p-summable sequences, respectively, and (lambda) over cap. also be the domain of the generalized difference matrix B(r, s) in the sequence space lambda, where 1 <= p < infinity. The present paper is devoted to studying on the sequence space A. Furthermore, the beta- and gamma-duals of the space <(lambda)over cap> are determined, and the Schauder bases for the spaces (c) over cap, (C-0) over cap and (l(p)) over cap are given, and some topological properties of the spaces (c(0)) over cap, (l(1)) over cap and (l(p)) over cap are examined. Finally, the classes ((lambda(1)) over cap, : lambda(2)) and ((lambda(1)) over cap : (lambda(2)) over cap) of infinite matrices are characterized, where lambda(1) is an element of {l(infinity), c, c(0), l(p), l(1)) and lambda(2) is an element of {l(infinity), c, c(0), l(1)). Published by Elsevier Ltd
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