Characterizations of compact operators on lp-type fractional sets of sequences

被引:4
|
作者
Ozger, Faruk [1 ]
机构
[1] Izmir Katip Celebi Univ, Dept Engn Sci, TR-35620 Izmir, Turkey
关键词
gamma function; fractional operator; operator norm; compact operator; Hausdorff measure of noncompactness; BAND MATRIX B((R)OVER-TILDE; HAUSDORFF MEASURE; SPACES; TRANSFORMATIONS; (S)OVER-TILDE); DOMAIN; ORDER;
D O I
10.1515/dema-2019-0015
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Among the sets of sequences studied, difference sets of sequences are probably the most common type of sets. This paper considers some l(p)-type fractional difference sets via the gamma function. Although, we characterize compactness conditions on those sets using the main key of Hausdorff measure of noncompactness, we can only obtain sufficient conditions when the final space is l(infinity). However, we use some recent results to exactly characterize the classes of compact matrix operators when the final space is the set of bounded sequences.
引用
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页码:105 / 115
页数:11
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