THE SPACE OF SPECTRAL MEASURES IS A HOMOGENEOUS REDUCTIVE SPACE

被引：9

作者：

ANDRUCHOW, E

RECHT, L

STOJANOFF, D

机构：

[1] INST ARGENT MATEMAT,RA-1055 BUENOS AIRES,ARGENTINA

[2] UNIV SIMON BOLIVAR,DEPT MATEMAT,CARACAS,VENEZUELA

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1993年 / 16卷 / 01期

关键词：

47B15; 58B10;

D O I：

10.1007/BF01196599

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the space of spectral measures on a W*-algebra is a smooth Banach manifold in a natural way and that the action of the group of invertible elements of the algebra by inner automorphisms makes it into a reductive homogeneous space. This gives a geometric structure for the set of normal operators with the same spectrum.

引用

页码：1 / 14

页数：14

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