Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix

被引:0
作者
Ali Karaisa
机构
[1] Necmettin Erbakan University,Department of Mathematics
[2] Meram Yerleşkesi,Computer Science
来源
Journal of Inequalities and Applications | / 2013卷
关键词
Hausdorff measure of noncompactness; triple band matrix; sequence space;
D O I
暂无
中图分类号
学科分类号
摘要
The sequence spaces c0(B), ℓ∞(B) have recently been introduced by Sömez (Comput. Math. Appl. 62:641-650, 2011). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c0(B), ℓ∞(B) and by using the Hausdorff measure of noncompactness, we characterize some classes of compact operators on these spaces.
引用
收藏
相关论文
共 24 条
  • [1] Sömez A(2011)Some new sequence spaces derived by the domain of the triple band matrix Comput. Math. Appl 62 641-650
  • [2] Mursaleen M(2010)Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means Comput. Math. Appl 60 1245-1258
  • [3] Noman AK(2012)Compactness of matrix operators on some new difference sequence spaces Linear Algebra Appl 436 41-52
  • [4] Mursaleen M(2007)On matrix domains of triangles Appl. Math. Comput 189 1146-1163
  • [5] Noman AK(2008)A note on compact operators on matrix domains J. Math. Anal. Appl 340 291-303
  • [6] Malkowsky E(2011)On compact operators and some Euler J. Math. Anal. Appl 379 499-511
  • [7] Rakocčević V(2012)-difference sequence spaces J. Math. Anal. Appl 391 67-81
  • [8] Djolović I(2004)On the Appl. Math. Comput 147 377-396
  • [9] Malkowsky E(2000)-difference sequence space derived by generalized weighted mean and compact operators Zb. Rad. - Mat. Inst. (Beogr.) 9 143-234
  • [10] Kara EE(2008)Matrix transformations between the sequence spaces Appl. Math. Comput 198 700-714