Rhaly operators: more on generalized Cesàro operators

被引:0
|
作者
Gallardo-Gutierrez, Eva A. [1 ,2 ]
Partington, Jonathan R. [3 ]
机构
[1] Univ Complutense Madrid, Dept Anal Matemat & Matemat Aplicada, Plaza Ciencias 3, Madrid 28040, Spain
[2] Inst Ciencias Matemat ICMAT, Madrid, Spain
[3] Univ Leeds, Sch Math, Leeds LS2 9JT, England
关键词
Ces & agrave; ro operator; Rhaly operator; Invariant subspace; Spectrum; Terraced operator; Hankel operator; Contraction semigroup; CESARO OPERATOR; FINE SPECTRUM;
D O I
10.1007/s10231-025-01560-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Rhaly operators, as generalizations of the Ces & agrave;ro operator, are studied from the standpoint of view of spectral theory and invariant subspaces, extending previous results by Rhaly and Leibowitz to a framework where generalized Ces & agrave;ro operators arise naturally.
引用
收藏
页数:15
相关论文
共 50 条
  • [31] Cesàro-type operators on Hardy, BMOA and bloch spaces
    Jie Xiao
    Archiv der Mathematik, 1997, 68 : 398 - 406
  • [32] Cesàro-like operators acting on spaces of analytic functions
    Petros Galanopoulos
    Daniel Girela
    Noel Merchán
    Analysis and Mathematical Physics, 2022, 12
  • [33] RKH spaces of Brownian type defined by Cesàro–Hardy operators
    José E. Galé
    Pedro J. Miana
    Luis Sánchez–Lajusticia
    Analysis and Mathematical Physics, 2021, 11
  • [34] Rhaly Operators on Small Weighted Hardy Spaces
    Lin, Tan Pin
    Minh Luan Doan
    Khoi, Le Hai
    ACTA MATHEMATICA VIETNAMICA, 2018, 43 (04) : 749 - 759
  • [35] On the spectrum and fine spectrum of the compact Rhaly operators
    Yildirim, M
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1996, 27 (08): : 779 - 784
  • [36] On the spectrum and fine spectrum of the compact Rhaly operators
    Yildirim, M
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (10): : 1443 - 1452
  • [37] EXTENDED CESRO OPERATORS ON THE BLOCH SPACE IN THE UNIT BALL OF C~n
    胡璋剑
    Acta Mathematica Scientia, 2003, (04) : 561 - 566
  • [38] Cesàro-like operators acting on a class of analytic function spaces
    Tang P.
    Analysis and Mathematical Physics, 2023, 13 (6)
  • [39] Compact Matrix Operators Between Some Cesàro Weighted Sequence Spaces
    Ivana Djolović
    Bulletin of the Iranian Mathematical Society, 2022, 48 : 1667 - 1677
  • [40] NEW WEIGHTED MULTILINEAR OPERATORS AND COMMUTATORS OF HARDY-CESàRO TYPE
    Ha Duy HUNG
    Luong Dang KY
    Acta Mathematica Scientia, 2015, 35 (06) : 1411 - 1425