There are no topologically transitive operators in the noncommutative Schwartz space

被引：0
|
作者：
Krzysztof Piszczek
Adam Przestacki
机构：
[1] A. Mickiewicz University in Poznań,Faculty of Mathematics and Computer Science
来源：
Archiv der Mathematik | 2022年 / 118卷
关键词：
Space of rapidly decreasing/slowly increasing sequences; Hypercyclic operator; Spectrum; Holomorphic functional calculus; Primary 47A16; Secondary 47B37; 46A45; 46H30; 46H35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this note is to prove that there are no topologically transitive operators in the noncommutative Schwartz space.
引用
收藏
页码：393 / 398
页数：5
相关论文
共 50 条
  • [31] On the existence of transitive and topologically mixing semigroup
    Conejero, Jose A.
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2007, 14 (03) : 463 - 471
  • [32] Schwartz operators
    Keyl, M.
    Kiukas, J.
    Werner, R. F.
    REVIEWS IN MATHEMATICAL PHYSICS, 2016, 28 (03)
  • [33] A Result about Topologically Transitive Set
    Liang, Chao
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
  • [34] Topologically transitive homeomorphisms of quotients of tori
    Cairns, G
    Jessup, B
    Nicolau, M
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 1999, 5 (02) : 291 - 300
  • [35] A NOTE ON TOPOLOGICALLY TRANSITIVE TREE MAPS
    Li, Risong
    Lu, Tianxiu
    Quan, Weizhen
    Pi, Jingmin
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 12 (05): : 1801 - 1815
  • [36] Deformed two-mode quadrature operators in noncommutative space
    Wei, H
    Li, JH
    Fang, RR
    Xie, XT
    Yang, XX
    PHYSICS LETTERS B, 2006, 633 (4-5) : 636 - 640
  • [37] AN INDEX THEOREM FOR TOEPLITZ-OPERATORS WITH NONCOMMUTATIVE SYMBOL SPACE
    PHILLIPS, J
    RAEBURN, I
    JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 120 (02) : 239 - 263
  • [38] NONCOMMUTATIVE SPACES WITH TRANSITIVE TRANSLATION GROUPS
    ANDRE, J
    GEOMETRIAE DEDICATA, 1990, 36 (2-3) : 125 - 137
  • [39] Dynamical properties of weighted translation operators on the Schwartz space S(R)
    Golinski, Michal
    Przestacki, Adam
    REVISTA MATEMATICA COMPLUTENSE, 2020, 33 (01): : 103 - 124
  • [40] Chaos in a topologically transitive semi-flow
    Li, Risong
    Lu, Tianxiu
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1675 - 1682
12345