Cyclic vectors of diagonal operators on the space of entire functions

被引：11

作者：

Marín, J ^{[1
]}

Seubert, SA

机构：

[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

[2] Alfred Univ, Div Math, Alfred, NY 14802 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 320卷 / 02期

基金：

美国国家科学基金会;

关键词：

cyclic vectors; diagonal operators; entire functions;

D O I：

10.1016/j.jmaa.2005.07.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study cyclic vectors and invariant subspaces of operators on the space of entire functions having as eigenvectors the monomials z(n). (C) 2005 Elsevier Inc. All rights reserved.

引用

页码：599 / 610

页数：12

共 25 条

[1]

[Anonymous], 1984, AM MATH SOC TRANSL, V124, P97

[2]

Birkhoff GD, 1929, CR HEBD ACAD SCI, V189, P473

[3] FUNDAMENTAL SETS OF ENTIRE FUNCTIONS [J].

BOAS, RP .

ANNALS OF MATHEMATICS, 1946, 47 (01) :21-31

[4]

Brown L., 1960, T AM MATH SOC, V96, p162 , DOI [DOI 10.1090/S0002-9947-1960-0142763-8, 10.2307/1993491]

[5]

GELFAND A, 1938, MAT SB RECUEIL MATH, V46, P149

[6] Universal families and hypercyclic operators [J].

Grosse-Erdmann, KG .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 36 (03) :345-381

[7] POSSIBLE STRUCTURES FOR THE SET OF CYCLIC VECTORS [J].

HERRERO, DA .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (06) :913-926

[8]

IYER VG, 1981, INDIAN J PURE AP MAT, V12, P854

[9]

IYER VG, 1950, Q J MATH OXFORD 2, V1, P86

[10]

IYER VG, 1948, J INDIAN MATH SOC, V12, P13

← 1 2 3 →