Disjoint universality for families of Taylor-type, operators

被引:15
|
作者
Vlachou, V. [1 ]
机构
[1] Univ Patras, Dept Math, Patras 26500, Greece
关键词
Universal Taylor series; Multiple universality; Disjoint universality; JOINT UNIVERSALITY; SERIES;
D O I
10.1016/j.jmaa.2016.11.057
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give a necessary and sufficient condition so that we have disjoint universality for sequences of operators that map a holomorphic function to a partial sum of its Taylor expansion. This problem is connected with doubly universal Taylor series and this is an effort to generalize the concept to multiply universal Taylor series. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:1318 / 1330
页数:13
相关论文
共 50 条
  • [41] FDG-PET improves surgical outcome in negative MRI Taylor-type focal cortical dysplasias
    Chassoux, F.
    Rodrigo, S.
    Semah, F.
    Beuvon, F.
    Landre, E.
    Devaux, B.
    Turak, B.
    Mellerio, C.
    Meder, J. -F.
    Roux, F. -X.
    Daumas-Duport, C.
    Merlet, P.
    Dulac, O.
    Chiron, C.
    NEUROLOGY, 2010, 75 (24) : 2168 - 2175
  • [42] On Anderson-Taylor type inequalities for τ-measurable operators
    Shao, Jingjing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [43] Pleomorphic xanthoastrocytoma associated with long-standing Taylor-type IIB-focal cortical dysplasia in an adult
    Kim, Bomi
    Chung, Chun-Kee
    Myung, Jae Kyung
    Park, Sung-Hye
    PATHOLOGY RESEARCH AND PRACTICE, 2009, 205 (02) : 113 - 117
  • [44] Almost disjoint families and relative versions of covering properties of κ-paracompactness type
    Morgan, Charles J. G.
    Rangel, Dimi R.
    da Silva, Samuel G.
    TOPOLOGY AND ITS APPLICATIONS, 2017, 221 : 476 - 490
  • [45] Dual disjoint hypercyclic operators
    Salas, Hector N.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 374 (01) : 106 - 117
  • [46] OPERATORS WITH THE DISJOINT SUPPORT PROPERTY
    CHAN, JT
    JOURNAL OF OPERATOR THEORY, 1990, 24 (02) : 383 - 391
  • [47] Disjoint hypercyclic Toeplitz operators
    Deger, Ozkan
    Eskisehirli, Beyaz Basak
    ARCHIV DER MATHEMATIK, 2025, 124 (03) : 301 - 310
  • [48] Definability and almost disjoint families
    Toernquist, Asger
    ADVANCES IN MATHEMATICS, 2018, 330 : 61 - 73
  • [49] REFINING WITH ALMOST DISJOINT FAMILIES
    HECHLER, SH
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (04): : A447 - A447
  • [50] Families of disjoint divisors on varieties
    Bogomolov, Fedor A.
    Pirutka, Alena
    Silberstein, Aaron Michael
    EUROPEAN JOURNAL OF MATHEMATICS, 2016, 2 (04) : 917 - 928