Interpolation of Banach algebras and tensor products of Banach couples

被引：1

作者：

Kaijser, S ^{[1
]}

Sunehag, P ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 278卷 / 02期

关键词：

interpolation; Banach algebra; tensor product; Banach couple; unit; analytic functions;

D O I：

10.1016/S0022-247X(02)00702-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using tensor products of Banach couples we study a class of interpolation functors with the property that to every Banach couple of Banach algebras they give an interpolation space which is a Banach algebra. For the real theta, 1-method we give a complete answer to the question of when the interpolation space is unital. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：367 / 375

页数：9

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