Quotient modules for some Hilbert modules over the bidisk

被引:3
|
作者
Duan, Yongjiang [1 ]
机构
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
关键词
Essential normal; Hilbert module; Bidisk; K-HOMOLOGY; OPERATORS; SUBMODULES; TUPLES;
D O I
10.1016/j.jmaa.2010.01.035
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, we will prove the essential normality of some type of quotient Hilbert modules over the bidisk. Moreover, we will study some properties of the compression of the multiplication operators to the quotient Hilbert modules. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:486 / 493
页数:8
相关论文
共 50 条
  • [1] The operators on a class of quotient modules over the bidisk
    Wu, Changhui
    Xu, Chunxu
    Yu, Tao
    Zhang, Bo
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2025, 19 (02)
  • [2] Nψ,φ-type Quotient Modules over the Bidisk
    Chang Hui WU
    Tao YU
    Acta Mathematica Sinica,English Series, 2020, (08) : 943 - 960
  • [3] Nψ,φ-type Quotient Modules over the Bidisk
    Wu, Chang Hui
    Yu, Tao
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 36 (08) : 943 - 960
  • [4] Nψ,ϕ-type Quotient Modules over the Bidisk
    Chang Hui Wu
    Tao Yu
    Acta Mathematica Sinica, English Series, 2020, 36 : 943 - 960
  • [5] Essentially normal Hilbert modules and K-homology Ⅲ:Homogenous quotient modules of Hardy modules on the bidisk
    Kun-yu GUO & Peng-hui WANG School of Mathematics
    Science in China(Series A:Mathematics), 2007, (03) : 387 - 411
  • [6] Essentially normal Hilbert modules and K-homology III:: Homogenous quotient modules of Hardy modules on the bidisk
    Guo, Kun-yu
    Wang, Peng-hui
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (03): : 387 - 411
  • [7] Essentially normal Hilbert modules and K-homology III: Homogenous quotient modules of Hardy modules on the bidisk
    Kun-yu Guo
    Peng-hui Wang
    Science in China Series A: Mathematics, 2007, 50 : 387 - 411
  • [8] Beurling type quotient modules over the bidisk and boundary representations
    Guo, Kunyu
    Wang, Kai
    JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 257 (10) : 3218 - 3238
  • [9] THE REDUCIBILITY OF COMPRESSED SHIFTS ON A CLASS OF QUOTIENT MODULES OVER THE BIDISK
    Yang, Yixin
    Zhu, Senhua
    Lu, Yufeng
    ANNALS OF FUNCTIONAL ANALYSIS, 2019, 10 (04): : 447 - 459
  • [10] The reducibility of compressed shifts on Beurling type quotient modules over the bidisk
    Zhu, Senhua
    Yang, Yixin
    Lu, Yufeng
    JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (01)