REAL INTERPOLATION AND COMPACT LINEAR-OPERATORS

被引：24

作者：

COBOS, F

EDMUNDS, DE

POTTER, AJB

机构：

[1] UNIV SUSSEX,DIV MATH,BRIGHTON BN1 9QH,E SUSSEX,ENGLAND

[2] UNIV ABERDEEN,DEPT MATH,ABERDEEN AB9 2TY,SCOTLAND

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 88卷 / 02期

关键词：

D O I：

10.1016/0022-1236(90)90110-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if T: A0 → B0 is compact and T: A1 → B1 is compact (or T: A1 → B1 is bounded and {A figure is presented}, then given any θ and q with 0 < θ < 1 and 0 < q≤ ∞, it follows that T: (A0, A1)0,q → (B0, B1)0,q, is also compact. Here (A0, A1)0,q and (B0, B1)0,q are the usual real interpolation spaces. © 1990.

引用

页码：351 / 365

页数：15