A connection between operator topologies, polynomial interpolation, and synthesis of diagonal operators

被引：4

作者：

Deters, Ian N. ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 350卷 / 01期

关键词：

Cyclic vectors; Invariant subspaces; Spectral synthesis; CYCLIC VECTORS; SPACE;

D O I：

10.1016/j.jmaa.2008.09.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we extend the work done by Deters and Seubert in [1. Deters, S. Seubert, Cyclic vectors of diagonal operators on the space of functions analytic on a disk, J. Math. Anal. Appl. 334 (2007) 1209-1219]. In particular, we shall improve upon a theorem in the aforementioned paper and make connections between the strong operator topology on H (B(0, 1)), polynomial behavior on a sequence of points, and the synthesis of diagonal operators on H(B(0, 1)). (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：354 / 359

页数：6

共 4 条

[1] Cyclic vectors of diagonal operators on the space of functions analytic on a disk [J].

Deters, Ian N. ;

Seubert, Steven M. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (02) :1209-1219

[2]

Iyer V.G., 1948, J. Indian Math. Soc, V12, P13

[3] Cyclic vectors of diagonal operators on the space of entire functions [J].

Marín, J ;

Seubert, SA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 320 (02) :599-610

[4]

Seubert SM, 2008, HOUSTON J MATH, V34, P807

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