SCHATTEN-CLASS OPERATORS AND FRAMES

被引：2
|
作者：
Koo, Yoo Young [1 ]
Lim, Jae Kun [2 ]
机构：
[1] Yonsei Univ, Univ Coll, Seoul 120749, South Korea
[2] Hankyong Natl Univ, Dept Appl Math, Gyeonggido 456749, South Korea
来源：
QUAESTIONES MATHEMATICAE | 2011年 / 34卷 / 02期
关键词：
Frame; Schatten-class operator;
D O I：
10.2989/16073606.2011.594235
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By extending the works of Arias et al. and Balazs we present a natural sufficient condition via frames for the membership of the Schatten p-class operators for 1 <= p <= 2, and show that such a condition is not sufficient to guarantee the membership of the Schatten-class operators for p > 2.
引用
收藏
页码：203 / 211
页数：9
相关论文
共 50 条
  • [31] Schatten class Hankel operators on exponential Bergman spaces
    Zeng, Zhicheng
    Wang, Xiaofeng
    Hu, Zhangjian
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (01)
  • [32] On the Schatten class membership of Hankel operators on the unit ball
    Xia, JB
    ILLINOIS JOURNAL OF MATHEMATICS, 2002, 46 (03) : 913 - 928
  • [33] Schatten class operators on exponential weighted Bergman spaces
    Xiaofeng Wang
    Jin Xia
    Youqi Liu
    Journal of Inequalities and Applications, 2023
  • [34] Schatten Class Conditions for Functions of Schrödinger Operators
    Rupert L. Frank
    Alexander Pushnitski
    Annales Henri Poincaré, 2019, 20 : 3543 - 3562
  • [35] Schatten class generalized Toeplitz operators on the Bergman space
    Chunxu Xu
    Tao Yu
    Czechoslovak Mathematical Journal, 2021, 71 : 1173 - 1188
  • [36] Schatten class Hankel operators on exponential Bergman spaces
    Zhicheng Zeng
    Xiaofeng Wang
    Zhangjian Hu
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
  • [37] SCHATTEN CLASS HANKEL-OPERATORS ON THE BERGMAN SPACE
    ZHENG, DC
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 1990, 13 (03) : 442 - 459
  • [38] TRACES OF COMMUTATORS OF SCHATTEN-VON-NEUMANN CLASS OPERATORS
    BROWN, LG
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1994, 451 : 171 - 174
  • [39] Schatten class weighted composition operators on weighted Fock spaces
    Tesfa Mengestie
    Archiv der Mathematik, 2013, 101 : 349 - 360
  • [40] Schatten Class Operators in a Representation Space of Canonical Commutation Relations
    A. S. Holevo
    Proceedings of the Steklov Institute of Mathematics, 2020, 309 : 150 - 158
12345