Characterization of some classes of compact operators between certain matrix domains of triangles
Keyword(s):
In this paper, we characterize the classes ((?1)T, (?1)?T ) and (cT, c?T) where T = (tnk)?n,k=0 and ?T=(?tnk)?n,k=0 are arbitrary triangles. We establish identities or estimates for the Hausdorff measure of noncompactness of operators given by matrices in the classes ((?1)T, (?1)?T ) and (cT, c?T). Furthermore we give sufficient conditions for such matrix operators to be Fredholm operators on (?1)T and cT. As an application of our results, we consider the class (bv, bv) and the corresponding classes of matrix operators. Our results are complementary to those in [2] and some of them are generalization for those in [3].
2006 ◽
Vol 2006
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pp. 1-5
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2010 ◽
Vol 216
(4)
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pp. 1122-1130
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2014 ◽
Vol 417
(1)
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pp. 96-111
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2015 ◽
Vol 2015
(1)
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