Acta mathematica scientia, Series B >
CHARACTERIZATIONS OF COMPACT OPERATORS ON SOME EULER SPACES OF DIFFERENCE EQUENCES OF ORDER m
Received date: 2009-05-09
Revised date: 2010-05-27
Online published: 2011-07-20
Supported by
Research of both authors supported by the research project#144003 of the Serbian Ministry of Science, Technology and Development.
In the past, several authors studied spaces of m-th order difference sequences, among them, H.Polat and F.Baffsar ([17]) defined the Euler spaces of m-th order difference sequences er0( Δ（m）), erc(Δ（m） ) and er∞(Δ（m） ) and characterized some classes of matrix transformations on them. In our paper, we add a new supplementary aspect to their research by characterizing classes of compact operators on those spaces. For that pur-pose, the spaces are treated as the matrix domains of a triangle in the classical sequence spaces c0, c and l∞. The main tool for our characterizations is the Hausdorff measure of noncompactness.
Ivana Djolovi′c , Eberhard Malkowsky . CHARACTERIZATIONS OF COMPACT OPERATORS ON SOME EULER SPACES OF DIFFERENCE EQUENCES OF ORDER m[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1465 -1474 . DOI: 10.1016/S0252-9602(11)60332-9
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