On the universality of multipliers on H(C)

被引：3
作者：
Conejero, Jose A. [1 ]
Mueller, Vladimir [2 ]
机构：
[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain
[2] Acad Sci Czech Republic, Math Inst, Prague 11567 1, Czech Republic
来源：
JOURNAL OF APPROXIMATION THEORY | 2010年 / 162卷 / 05期
关键词：
Universal functions; Entire functions; Polynomial approximation; Non-convolution operators; Multipliers; COMMON HYPERCYCLIC VECTORS; NONCONVOLUTION OPERATORS; SPACES; CRITERIA;
D O I：
10.1016/j.jat.2009.11.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the universal behaviour of multipliers on the space H(C) of entire functions endowed with the compact open topology. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：1025 / 1032
页数：8
相关论文
共 35 条
  • [1] Common hypercyclic vectors for multiples of backward shift
    Abakumov, E
    Gordon, J
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 200 (02) : 494 - 504
  • [2] [Anonymous], 1952, Journal d'Analyse Mathematique, DOI DOI 10.1007/BF02786968
  • [3] Aron R, 2005, J OPERAT THEOR, V54, P251
  • [4] Aron R, 2004, J KOREAN MATH SOC, V41, P65
  • [5] Powers of hypercyclic functions for some classical hypercyclic operators
    Aron, R. M.
    Conejero, J. A.
    Peris, A.
    Seoane-Sepulveda, J. B.
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2007, 58 (04) : 591 - 596
  • [6] How to get common universal vectors
    Bayart, F.
    Matheron, E.
    [J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2007, 56 (02) : 553 - 580
  • [7] Bayart F, 2004, J OPERAT THEOR, V52, P353
  • [8] Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces
    Bermúdez, T
    Bonilla, A
    Conejero, JA
    Peris, A
    [J]. STUDIA MATHEMATICA, 2005, 170 (01) : 57 - 75
  • [9] On hypercyclicity and supercyclicity criteria
    Bermúdez, T
    Bonilla, A
    Peris, A
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 70 (01) : 45 - 54
  • [10] The Hypercyclicity Criterion for sequences of operators
    Bernal-González, L
    Grosse-Erdmann, KG
    [J]. STUDIA MATHEMATICA, 2003, 157 (01) : 17 - 32
1234