中国综合性科技类核心期刊(北大核心)

中国科学引文数据库来源期刊(CSCD)

美国《化学文摘》(CA)收录

美国《数学评论》(MR)收录

俄罗斯《文摘杂志》收录

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

反对角算子矩阵及其平方的单值延拓性质

崔苗苗 曹小红

崔苗苗, 曹小红. 反对角算子矩阵及其平方的单值延拓性质[J]. 华东师范大学学报(自然科学版), 2015, (1): 95-102. doi: 10.3969/j.issn.1000-5641.2015.01.011
引用本文: 崔苗苗, 曹小红. 反对角算子矩阵及其平方的单值延拓性质[J]. 华东师范大学学报(自然科学版), 2015, (1): 95-102. doi: 10.3969/j.issn.1000-5641.2015.01.011
CUI Miao-Miao, CAO Xiao-Hong. Single-value extension property for anti-diagonal operator matrices and their square[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 95-102. doi: 10.3969/j.issn.1000-5641.2015.01.011
Citation: CUI Miao-Miao, CAO Xiao-Hong. Single-value extension property for anti-diagonal operator matrices and their square[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 95-102. doi: 10.3969/j.issn.1000-5641.2015.01.011

反对角算子矩阵及其平方的单值延拓性质

doi: 10.3969/j.issn.1000-5641.2015.01.011
基金项目: 

国家自然科学基金(11471200, 11371012); 中央高校基本科研业务费专项基金(GK201301007)

详细信息
    作者简介:

    第一作者: 崔苗苗, 女, 在读硕士,研究方向为算子理论. E-mail address: cuiye@snnu.edu.cn

    通讯作者:

    曹小红, 女, 博士, 教授,研究方向为算子理论.

  • 中图分类号: O177.2

Single-value extension property for anti-diagonal operator matrices and their square

  • 摘要: 本文主要证明了,复无限维可分Hilbert空间上的反对角算子矩阵及其平方具有单值延拓性质的摄动的等价性
  • [1] DUNFORD N. Spectral theory II [J]. Resolutions of the identity. Pacific J Math, 1952, 2(4): 559-614.
    DUNFORD N. Spectral operators [J]. Pacific J Math, 1954, 4(3): 321-354.
    DUNFORD N. A survey of the theory of spectral operators [J]. Bull Amer Math Soc, 1958, 64: 217-274.
    ZHU S, LI CH G. SVEP and compact perturbations [J]. Journal of Mathematical Analysis and Applications, 2011, 380: 69-75.
    FINCH J K. The single valued extension property on a Banach space [J]. Pacific J Math, 1975, 58: 61-69.
    AIENA P. Fredholm and Local Spectral Theory, with Applications to Multipliers [M]. Dordrecht: Kluwer Academic Publishers, 2004.
    LAURSEN K B, NEUMANN M M. An Introduction to Local Spectral Theorey [M]. London Math Soc Monogr New Ser 20. New York: The Clarendon press, 2000.
    KIM Y, KO E, LEE J E. Opeators with the single valued extension property [J]. Bull Koerean Math Soc, 2006, 43: 509-517.
    LI J X. The single valued extension property for operator weighted shifts [J]. Northeast Math J, 1994, 10(1): 99-103.
    DUGGAL B P. Upper triangular operator matrices with single-valued extension property [J]. J Math Anal, 2009, 349: 85-89.
    SHI W J, CAO X H.  Stability of single-valued extension property for 2*2 upper triangular operator [J]. Journal of University of Chinese Academy of Sciences, 2013, 30(4): 450-453, 484.
    GRABINER S. Uniform ascent and descent of bounded operators [J]. Math Soc Japan, 1982, 34(2): 317-337.
    HARTE R E, LEE W Y, LITTLEJOIN L L. On generalized Riesz points [J]. J Operator Theory, 2002, 47: 187-196.
    JI Y Q. Quasitriangular+small compact=strongly irreducible [J]. Trans Amer Math Soc, 1999, 351(11): 4657-4673.
    HERRERO D A. Economical compact perturbations, II, filling in the holes [J]. J Operator Theory, 1988, 19(1): 25-42.
  • 加载中
计量
  • 文章访问数:  980
  • HTML全文浏览量:  34
  • PDF下载量:  1387
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-01-01
  • 刊出日期:  2015-01-25

目录

    /

    返回文章
    返回