On the Perturbation of Semi-Fredholm Relations with Complemented Ranges and Null Spaces

On the Perturbation of Semi-Fredholm Relations with Complemented Ranges and Null Spaces

导出

摘要 Multivalued semi-Fredholm type linear operators with complemented ranges and null spaces are introduced. Conditions are obtained under which the classes given are stable under compact, strictly singular and strictly cosingular additive perturbations. Multivalued semi-Fredholm type linear operators with complemented ranges and null spaces are introduced. Conditions are obtained under which the classes given are stable under compact, strictly singular and strictly cosingular additive perturbations.

作者 Teresa LVAREZ

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第8期1545-1554,共10页 数学学报（英文版）

关键词 Left-Atkinson relation right-Atkinson relation strictly singular strictly cosingular PERTURBATION Left-Atkinson relation, right-Atkinson relation, strictly singular, strictly cosingular, perturbation

分类号 O177 [理学—基础数学]

引文网络
相关文献

参考文献14

1Gonzalez, M.: On Atkinson operators in locally convex spaces. Math. Z., 190, 505-517 (1985).
2Muller-Horrig, V.: Zur Theorie der Semi-Fredholm-Operatoren mit stetig projizierten Kern und Bild. Math. Nach., 99, 185-197 (1980).
3Cross, R. W.: Multivalued Linear Operators, Marcel Dekker, New York, 1998.
4von Neumann, J.: Functional Operators, Vol. 2, The Geometry of Orthogonal Spaces, Ann. of Math. Stud., Princeton University Press, Princeton, 1950.
5Gromov, M.: Partial Differential Relations, Springer-Verlag, Berlin, 1966.
6Favini, A., Yagi, A.: Multivalued linear operators and degenerate evolution equations. Ann. Mat. Pura Appl., 163(4), 353-384 (1993).
7Agarwal, R. P., Meehan, M., O'Regan, D.: Fixed Point Theory and Applications, Cambridge University Press, Cambridge, 2001.
8Gorniewicz~ L.: Topotogical Fixed Point Theory of Multivalued Mappings, Kluwer, 1999.
9Muresan, M.: On a boundary value problem for quasi-linear differential inclusions of evolution. Collect. Math., 45, 165- 175 (1994).
10Roman-Flores, H. A., Flores-Franulic, A., Rojas-Medar, M. A., et al.: Stability of the fixed points set of fuzzy contractions. Appl. Math. Lett., 11(4), 33-37 (1998).

1王克林.线支正交异性矩形厚板的动稳定分析[J].西安冶金建筑学院学报,1993,25(4):429-435.
2Kan ZHANG,Yufeng LU.Products of Toeplitz Operator on the Weighted Bergman Space of the Unit Ball[J].Journal of Mathematical Research with Applications,2012,32(4):439-449.
3Igor Boglaev.A NUMERICAL METHOD FOR SOLVING NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS OF FREDHOLM TYPE[J].Journal of Computational Mathematics,2016,34(3):262-284.
4Jian Lu ZHANG,Min ZHOU.Non-differentiability of Alpha Function at the Boundary of Flat[J].Acta Mathematica Sinica,English Series,2014,30(8):1341-1352.
5ZHU XiaoWu,DAI HuiHui.Solution for a nonlocal elastic bar in tension[J].Science China(Physics,Mechanics & Astronomy),2012,55(6):1059-1065. 被引量：1
6Du HONG Mu LI-HUA.Stability of Fredholm Integral Equation of the First Kind in Reproducing Kernel Space[J].Communications in Mathematical Research,2012,28(2):121-126. 被引量：2
7Qing Ping ZENG,Huai Jie ZHONG.New Results on Common Properties of Bounded Linear Operators RS and SR[J].Acta Mathematica Sinica,English Series,2013,29(10):1871-1884.
8Guozheng CHENG,Xiang FANG.On the Cellular Indecomposable Property of Semi-Fredholm Operators[J].Chinese Annals of Mathematics,Series B,2012,33(6):903-908.
9潘壮元.SOME NEW RESULTS ON THE CHORD METHOD AT SINGULAR POINTS[J].Numerical Mathematics A Journal of Chinese Universities(English Series),1997,6(1):113-114.
10Chen Bihong.Use Elementary Column Operations to Calculate the Basis of the Null Space of a Matrix[J].Journal of Mathematics and System Science,2013,3(3):162-165.

Acta Mathematica Sinica,English Series

2010年第8期

浏览历史

内容加载中请稍等...

On the Perturbation of Semi-Fredholm Relations with Complemented Ranges and Null Spaces

参考文献14

相关作者

相关机构

相关主题

浏览历史