PRODUCT OF MULTIPLICATION, COMPOSITION AND VOLTERRA OPERATORS

被引：0
作者：
Gupta, Anupama [1 ]
机构：
[1] Govt PG Coll Women, Jammu, Jammu & Kashmir, India
来源：
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2019年 / 19卷 / 01期
关键词：
composition operator; multiplication operator; Volterra operator; Radon-Nikodym derivative; expectation operator; WEIGHTED NORM INEQUALITIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The study of product of multiplication, composition and Volterra operator on L-p(mu) space is initiated in this paper. The criterion for boundedness of product of multiplication, composition and Volterra Operators has been characterized. An attempt has been made to obtain the adjoint of product of multiplication, composition and Volterra operators. It is proved that the spectrum of product of multiplication, composition and Volterra operators is equal to zero.
引用
收藏
页码：43 / 52
页数：10
相关论文
共 13 条
  • [1] Extended eigenvalues and the volterra operator
    Biswas, A
    Lambert, A
    Petrovic, S
    [J]. GLASGOW MATHEMATICAL JOURNAL, 2002, 44 : 521 - 534
  • [2] WEIGHTED NORM INEQUALITIES FOR OPERATORS OF HARDY TYPE
    BLOOM, S
    KERMAN, R
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (01) : 135 - 141
  • [3] ON SOME CLASSES OF WEIGHTED COMPOSITION OPERATORS
    CAMPBELL, JT
    JAMISON, JE
    [J]. GLASGOW MATHEMATICAL JOURNAL, 1990, 32 : 87 - 94
  • [4] Gupta A., 2017, B CALCUTTA MAT SOC, V109, P263
  • [5] Gupta A., 2011, INT J CONT MATH SCI, V6, P345
  • [6] Halmos PR, 1982, HILBERT SPACE PROBLE
  • [7] LYUBIC YI, 1984, LECT NOTES MATH, V1043, P249
  • [8] Parthasarathy K.R., 1977, INTRO PROBABILITY ME
  • [9] Singh R K, 1993, N HOLLAND MATH STUDI, V179
  • [10] Stepanov V. D., 1980, SOV MATH DOKL, V41, P468
12