A Note on the Operator Equation Generalizing the Notion of Slant Hankel Operators

A Note on the Operator Equation Generalizing the Notion of Slant Hankel Operators

下载PDF

导出

摘要 The operator equation λMz^-X = XMzk, for k ≥ 2,λ∈ C, is completely solved. Further, some algebraic and spectral properties of the solutions of the equation are discussed. The operator equation λMz^-X = XMzk, for k ≥ 2,λ∈ C, is completely solved. Further, some algebraic and spectral properties of the solutions of the equation are discussed.

作者 Gopal Datt Ritu Aggarwal

机构地区 Department of Mathematics Department of Mathematics

出处《Analysis in Theory and Applications》 CSCD 2016年第4期387-395,共9页 分析理论与应用（英文刊）

关键词 Hankel operators slant Hankel operators generalized slant Toeplitz operators generalized slant Toeplitz operators spectrum of an operator. Hankel operators, slant Hankel operators, generalized slant Toeplitz operators, generalized slant Toeplitz operators, spectrum of an operator.

分类号 O177 [理学—数学]

引文网络
相关文献

1罗罗,史济怀.THE COMPACTNESS OF A KIND OF GENERALIZED HANKEL OPERATORS ON THE BERGMAN SPACE OF THE UNIT BALL[J].Acta Mathematica Scientia,2000,20(4):471-475. 被引量：1
2杨君,冷爱萍,卢玉峰.к-order Slant Toeplitz Operators on the Bergman Space[J].Northeastern Mathematical Journal,2007,23(5):403-412.
3ZHANG KAN,LU YU-FENG,LIU CHAO-MEI.Little Hankel Operators on the Weighted Bergman Space of the Unit Ball[J].Communications in Mathematical Research,2010,26(4):304-312.
4Chaomei LIU,Yufeng LU.Product and Commutativity of Slant Toeplitz Operators[J].Journal of Mathematical Research with Applications,2013,33(1):122-126. 被引量：1
5刘永民.SMALL HANKEL OPERATORS ON WEIGHTEDBERGMAN SPACES OF BOUNDED SYMMETRICDOMAINS[J].Acta Mathematica Scientia,2000,20(1):27-34. 被引量：2
6严绍宗.ON OPERATOR EQUATION A=A~*C[J].Chinese Science Bulletin,1988,33(18):1491-1493.
7陶志光.ON THE OPERATOR EQUATION f(A)=A[J].Chinese Science Bulletin,1986,31(6):427-428.
8Hong Yan GUAN,Yu Feng LU.Algebraic Properties of Toeplitz and Small Hankel Operators on the Harmonic Bergman Space[J].Acta Mathematica Sinica,English Series,2014,30(8):1395-1406. 被引量：1
9郭本瑜.WEAK STABILITY OF NONLINEAR DISCRETIZATION[J].Chinese Science Bulletin,1985,30(2):143-147.
10周传世.HANKEL OPERATORS ON WEIGHTED BERGMAN SPACE[J].Chinese Science Bulletin,1988,33(21).

Analysis in Theory and Applications

2016年第4期

浏览历史

内容加载中请稍等...

A Note on the Operator Equation Generalizing the Notion of Slant Hankel Operators

相关作者

相关机构

相关主题

浏览历史