Interpolation properties of scales of Banach spaces

被引：2

作者：

Bykov, Yu. N. ^{[1
]}

Ovchinnikov, V. I. ^{[1
]}

机构：

[1] Voronezh State Univ, Voronezh 394693, Russia

来源：

MATHEMATICAL NOTES | 2006年 / 80卷 / 5-6期

关键词：

interpolation scale; interpolation functor; scale of Banach spaces; reiteration theorem; translation-invariant space of sequences; triangular matrix;

D O I：

10.1007/s11006-006-0199-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that any interpolation scales joining weight spaces L, or similar spaces have many remarkable properties. Not only are such scales intrinsically interpolation scales, but an analog of the Arazy-Cwikel theorem describing interpolation spaces between the spaces from the scale is valid.

引用

页码：761 / 769

页数：9

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