实l_p^2空间上绝对数值指标的一些注记
A note on the absolute numerical index of the l_p^2 real space
摘要
研究了实lp2空间上的线性算子的绝对数值半径,并得到了实lp2空间的绝对数值指标的一个估计.
In this paper,we study the absolute numerical radius of the operator on the real l2p space,and obtain a estimate of the absolute numerical index of real l2p.
出处
《天津理工大学学报》
2012年第3期1-3,共3页
Journal of Tianjin University of Technology
基金
国家自然科学基金(11026177)
参考文献11
-
1Lummer G. Semi-inner-product spaces[J].Transactions of the American Mathematical Society,1961.29-43.doi:10.1007/s00228-009-0756-y.
-
2Glickfeld B W. On an inequality of Banach algebra geometry and semi-inner product space theory[J].Illinois Journal of Mathematics,1970.76-81.doi:10.1242/jcs.058636.
-
3Bohnenblust H F,Karlin S. Geometrical properties of the unit sphere in Banach algebra[J].Annals of Mathematics,1955.217-299.doi:10.2307/1969676.
-
4Duncan J,McGregor C,Pryce J. The numerical index of a normed space[J].London Mathematical Society,1970.481-488.
-
5Ed-dari E. The numerical index of Banach space[J].Linear Algebra and Its Applications,2005.86-96.doi:10.1016/j.ijbiomac.2010.08.015.
-
6Ed-dari E,Khamsi M. The numerical index of Lp space[J].Proceedings of the American Mathematical Society,2006,(7):2019-2025.doi:10.1090/S0002-9939-05-08231-6.
-
7Ed-dari E,Khamsi M,Aksoy A. On the numerical index of vector-valued spaces[J].Linear and Multilinear Algebra,2007.507-513.doi:10.1080/03081080601030594.
-
8Martin M,Meri J. A note on the numerical index of Lp space of dimension two[J].Linear and Multilinear Algebra,2009,(12):201-204.doi:10.1038/cgt.2009.39.
-
9Martin M,Paya R. Numerical index of vector-valued function spaces[J].Studia Mathematica,2000.269-280.doi:10.1134/S1063785010090075.
-
10Martin M,Meri J,Popov M. On the numerical index of real Lp (μ) spaces[J].Israel Journal of Mathematics,2011.183-192.doi:10.1007/s11856-011-0064-y.
-
1黄旭剑,谭冬妮.向量值空间中的几何酉元[J].数学学报(中文版),2015,58(6):1001-1008.
-
2罗吉庭,罗莉.非马氏可修系统的随机模拟[J].系统工程与电子技术,1996,18(7):41-48. 被引量:1
-
3刘莹.基于量化指标下的NBA赛程评价模型[J].吉林师范大学学报(自然科学版),2010,31(3):114-116.
-
4刘芳,许小媛,郑义.延迟预警对家庭网络早期传播行为的影响[J].复杂系统与复杂性科学,2015,12(3):85-90.
-
5顾建忠.商品房销售价格指数的Rough-Granular分析[J].苏州科技学院学报(自然科学版),2013,30(3):9-12.
-
6张连生,黄风雷.抗弹陶瓷材料抗弹性能的理论表征[J].北京理工大学学报,2005,25(7):651-654. 被引量:7