ON THE ISOMETRIES OF THE LORENTZ FUNCTION-SPACES

被引：19

作者：

CAROTHERS, NL

HAYDON, R

LIN, PK

机构：

[1] UNIV OXFORD BRASENOSE COLL,OXFORD OX1 4AJ,ENGLAND

[2] MEMPHIS STATE UNIV,DEPT MATH,MEMPHIS,TN 38152

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1993年 / 84卷 / 1-2期

关键词：

D O I：

10.1007/BF02761703

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be an (into linear) isometry on a (real or complex) Lorentz function space L(w,p,) 1 less than or equal to p < infinity. We show that if f and g have disjoint support, then T f and T g also have disjoint support. Using this result, we give a characterization of the isometries of L(w,p).

引用

页码：265 / 287

页数：23