Linear factorization of hypercyclic functions for differential operators

被引：1
|
作者：
Chan, Kit C. [1 ]
Hofstad, Jakob [3 ]
Walmsley, David [2 ]
机构：
[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA
[2] St Olaf Coll, Dept Math Stat & Comp Sci, Northfield, MN 55057 USA
[3] St Olaf Coll, Northfield, MN 55057 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 485卷 / 02期
关键词：
Hypercyclicity; Differentiation; Translation; Infinite product; Entire functions; Exponential type; THEOREM; SPACES;
D O I：
10.1016/j.jmaa.2019.123804
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On the Frechet space of entire functions H(C), we show that every nonscalar continuous linear operator L : H(C) -> H(C) which commutes with differentiation has a hypercyclic vector f(z) in the form of the infinite product of linear polynomials: f(z) = Pi(infinity )(j=1)(1 - z/a(j)), where each a(j) is a nonzero complex number. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页数：21
相关论文
共 50 条
  • [31] Common hypercyclic functions for translation operators with large gaps
    Tsirivas, Nikos
    JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (07) : 2726 - 2751
  • [32] Polynomial automorphisms and hypercyclic operators on spaces of analytic functions
    Zoryana Novosad
    Andriy Zagorodnyuk
    Archiv der Mathematik, 2007, 89 : 157 - 166
  • [33] On Hypercyclic Operators in Weighted Spaces of Infinitely Differentiable Functions
    A. I. Rakhimova
    Mathematical Notes, 2023, 114 : 242 - 249
  • [34] Hypercyclic subspaces for sequences of finite order differential operators
    Bernal-Gonzalez, L.
    Calderon-Moreno, M. C.
    Lopez-Salazar, J.
    Prado-Bassas, J. A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 546 (01)
  • [35] FACTORIZATION OF POLYNOMIAL DIFFERENTIAL OPERATORS
    BHARGAVA, M
    KAUFMAN, H
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1968, 16 (01): : 29 - &
  • [36] Multi-hypercyclic operators are hypercyclic
    Alfredo Peris
    Mathematische Zeitschrift, 2001, 236 : 779 - 786
  • [37] Multi-hypercyclic operators are hypercyclic
    Peris, A
    MATHEMATISCHE ZEITSCHRIFT, 2001, 236 (04) : 779 - 786
  • [38] CESARO-HYPERCYCLIC AND HYPERCYCLIC OPERATORS
    El Berrag, Mohammed
    Tajmouati, Abdelaziz
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (02): : 557 - 563
  • [39] Non-linear factorization of linear operators
    Johnson, W. B.
    Maurey, B.
    Schechtman, G.
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 : 663 - 668
  • [40] HYPERCYCLIC OPERATORS ON SPACES OF BLOCK-SYMMETRIC ANALYTIC FUNCTIONS
    Kravtsiv, V. V.
    Mozhyrovska, Z. G.
    Zagorodnyuk, A., V
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2013, 5 (01) : 59 - 62
12345