The interpolation in CSL subalgebras of von Neumann algebras

被引：0

作者：

Li, Ran ^{[1
]}

Chen, Peixin ^{[2
]}

Lu, Yufeng ^{[3
]}

机构：

[1] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

[3] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 473卷 / 02期

关键词：

Interpolation; von Neumann algebra; Commutative subspace lattice;

D O I：

10.1016/j.jmaa.2019.01.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a CSL subalgebra A of a von Neumann algebra and vectors f, g, we give necessary and sufficient conditions for the existence of an operator A epsilon A Of such that Af = g. This generalizes the corresponding results of Lance [5], Hopenwasser [2] and Katsoulis [4]. Furthermore, the necessary and sufficient conditions for multi-variable interpolation are described. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：803 / 810

页数：8

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