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On Gliding Hump Properties of Matrix Domains

On Gliding Hump Properties of Matrix Domains
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摘要 In this note, we establish several results concerning the gliding hump properties of matrix domains. In order to discuss F-WGHP, we introduce the UAK-property and find that this sort of property has close relationship with F-WGHP. In the course of discussing F-WGHP and WGHP of （C0）cn, we discuss the F-WGHP and WGHP of the almost-null sequence space f0. In this note, we establish several results concerning the gliding hump properties of matrix domains. In order to discuss F-WGHP, we introduce the UAK-property and find that this sort of property has close relationship with F-WGHP. In the course of discussing F-WGHP and WGHP of （C0）cn, we discuss the F-WGHP and WGHP of the almost-null sequence space f0.
作者 ZHENG FU TAO YUAN-HONG LI RONG-LU
机构地区 Department of Mathematics Department of Mathematics Department of Mathematics
出处 《Communications in Mathematical Research》 CSCD 2009年第1期69-78,共10页 数学研究通讯（英文版）
关键词 matrix domain UAK-property gliding hump property sequence space matrix domain, UAK-property, gliding hump property, sequence space
分类号 O151.21 [理学—基础数学] U284.6 [交通运输工程—交通信息工程及控制]
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参考文献9

  • 1Boos, J., Stuart, C. and Swartz, C., Gliding hump properties of matrix domains, Anal. Math., 30(4)(2004), 243-257.
  • 2Lebesgue, H., Sur tes integfales singlieres, Ann. de Toulouse, 1(1909), 25-117.
  • 3Dominikus Noll, Sequential completeness and spaces with the gliding hump property, Manuscripta Math., 66(1990), 237-252.
  • 4Boos, J. and Leiger, T., The signed weak gliding hump property, Acta Comm. Univ. Taruensis, 970(1994), 13-22.
  • 5Boos, J., Classical and Modern Methods in Summability, Oxford University Press, Oxford, 2000.
  • 6Swartz, C. and Stuart, C., Uniform convergence in the dual of a vector-valued sequence space, Taiwanees J. Math., 7(2003), 665-676.
  • 7Boos, J. and Fleming, D. J., Gliding hump properties and some applications, J. Math. Math. Sci., 18(1995), 121-132.
  • 8Stuart, C. E. Weak Sequential Completeness in Sequence Spaces, Thesis, New Mexico State University, Las Cruces, New Mexico, 1983.
  • 9Lorentz, G. G., A contribution to the theory of divergent sequences, Acta Math., 80(1948), 167-190.
Communications in Mathematical Research
2009年 第1期

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