Operators Induced by Toeplitz and Hankel Operators

被引:0
作者
Datt, Gopal [1 ]
Mittal, Anshika [2 ]
机构
[1] Univ Delhi, Dept Math, PGDAV Coll, Delhi 110065, India
[2] Univ Delhi, Dept Math, Delhi 110007, India
关键词
Toeplitz operators; Hankel operators; Hilbert-Schmidt operator; Hyponormal operator;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce a new class of operators called Toep-Hank operators on the space H-2(T) with the help of already existing class of operators namely Hankel and Toeplitz operators and discuss its structural properties. A matrix characterization for an operator to be Toep-Hank operator is obtained. Commutators of Toep-Hank operators and Toeplitz operators are computed.
引用
收藏
页码:183 / 192
页数:10
相关论文
共 23 条
  • [1] Adamjan VM., 1968, FUNKT ANAL PRIL, V2, P1
  • [2] Arora S. C., 2007, Bull. Pure Appl. Math., V1, P141
  • [3] Avendano RM., 2007, INTRO OPERATORS HARD
  • [4] Brown A., 1963, J. Reine Angew. Math., V213, P89
  • [5] COWEN CC, 1983, J OPERAT THEOR, V9, P77
  • [6] HYPONORMALITY OF TOEPLITZ-OPERATORS
    COWEN, CC
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 103 (03) : 809 - 812
  • [7] Datt G., 2013, EXTRACTA MATH, V28, P197
  • [8] Deekonda V. K., 2015, SE ASIAN B MATH, V40, P131
  • [9] Douglas R.G., 1972, Banach Algebra Techniques in Operator Theory
  • [10] Goodman T., 1994, RECENT ADV WAVELET A