STABILITY OF THE S-LEFT AND S-RIGHT ESSENTIAL SPECTRA OF A LINEAR OPERATOR
STABILITY OF THE S-LEFT AND S-RIGHT ESSENTIAL SPECTRA OF A LINEAR OPERATOR
摘要
In the present paper, we define the S-left and the S-right essential spectra of a linear operator and we study the stability of the S-essential spectra on a Banach space.
In the present paper, we define the S-left and the S-right essential spectra of a linear operator and we study the stability of the S-essential spectra on a Banach space.
参考文献27
-
1Abdmouleh F, Jeribi A. Gustafson, Weidman, Kato, Wolf, Schechter, Browder, Rakocevic and Schmoeger essential spectra of the sum of two bounded operators and application to a transport operator. Math Nachr, 2011, 284:166 176.
-
2Abdmouleh F, Ammar A, Jeribi A. Stability of the S-essential spectra on a Banach space. Math Slovaca, 2013, 63:299-320.
-
3Aiena P. Semi-Fredholm operators, perturbation theory and localized SVEP. Caracas, Venezuela, 2007.
-
4Caradus S R. Operators of Riesz type. Pacific J Math, 1966, 18:61 71.
-
5Caradus S R. Generalized inverse and operator theory//Queen's Papers in Pure And Appl Math, 50. Queen's University Kingston Ont 1978.
-
6Gohberg I C, Markus A S, Feldman I A. Normally solvable operators and ideals associated with them. Amer Soc Trans Ser 2, 1967, 61:63-84.
-
7Gustafson K, Weidmann J. On the essential spectrum. J Math Anal Appl, 1969, 25:121-127.
-
8Jeribi A. A characterization of the essential spectrum and applicatiotls. Boll dell Unio Mate ltal, Serie 8, 2002, 5:805-825.
-
9Jeribi A. A characterization of the Schechter essential spectrum on Banaeh spaces and applications. J Ivlath Anal Appl, 2002, 271:343-358.
-
10Jeribi A, Moalla N. A characterization of some subsets of Schechter's essential spectrmn and application t,o singular transport equation. J Math Anal Appl, 2002, 358:434 444.
-
1谢佩珠,曹广福.TOEPLITZ OPERATORS ON HEISENBERG GROUP[J].Acta Mathematica Scientia,2013,33(6):1589-1597.
-
2LIYuan DUHongKe.On Essential Spectra of 2 × 2 Operator Matrices[J].Journal of Mathematical Research and Exposition,2008,28(2):359-365. 被引量:1
-
3Muhammed ARIF,Shahid MAHMOOD,Janusz SOKOL,Jacek DZIOK.NEW SUBCLASS OF ANALYTIC FUNCTIONS IN CONICAL DOMAIN ASSOCIATED WITH A LINEAR OPERATOR[J].Acta Mathematica Scientia,2016,36(3):704-716.
-
4A.O.Mostafa,M.K.Aouf.Subordination Results for p-Valent Meromorphic Functions Associated with a Linear Operator[J].Analysis in Theory and Applications,2014,30(4):369-376.
-
5Bilel KRICHEN.RELATIVE ESSENTIAL SPECTRA INVOLVING RELATIVE DEMICOMPACT UNBOUNDED LINEAR OPERATORS[J].Acta Mathematica Scientia,2014,34(2):546-556.
-
6Boulbeba Abdelmoumen,Aref Jeribi,Maher Mnif.ON GRAPH MEASURES IN BANACH SPACES AND DESCRIPTION OF ESSENTIAL SPECTRA OF MULTIDIMENSIONAL TRANSPORT EQUATION[J].Acta Mathematica Scientia,2012,32(5):2050-2064.
-
7YU Rui-fang,WU Ga-ridi.On n-K Width of Certain Function Classes Defined by Linear Operators in L_2 Space[J].Chinese Quarterly Journal of Mathematics,2016,31(1):96-101. 被引量:1
-
8卢玉峰.Localization of Toeplitz Operators on Bergman Spaces[J].Northeastern Mathematical Journal,2001,17(4):461-468.
-
9LIANG Jin and XIAO Tijun Department of Mathematics, University of Science and Technology of China, Hefei 230026, China.Norm continuity for t>0 of linear operator families[J].Chinese Science Bulletin,1998,43(9):719-723.
-
10CAO GUANGFU,SUN SHANLI(Department of Mathematics, Jinn University Changchun 130023, China.).ON CONNECTIVITY OF THE ESSENTIAL SPECTRA OF TOEPLITZ OPERATORS WITH SYMBOLS IN H∞+C[J].Chinese Annals of Mathematics,Series B,1995,16(1):93-102. 被引量:1