ASYMPTOTICALLY COMMUTING FAMILIES OF OPERATORS

被引：0

作者：

JAFFE, A

KLIMEK, S

LESNIEWSKI, A

机构：

[1] Harvard University, Cambridge, 02138, MA

来源：

COMMENTARII MATHEMATICI HELVETICI | 1990年 / 65卷 / 04期

关键词：

D O I：

10.1007/BF02566632

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study families of symmetric operators (Q n) with domains given by the range of self-adjoint contraction semigroups (e -tHn ). Assuming the asymptotic commutativity, lim n [Q n, e-tHn]=0, and certain other estimates, we establish the existence and properties of a limiting self-adjoint operator Q=lim n Q n. We apply these results to the study of an elementary supersymmetry algebra. © 1990 Birkhäuser Verlag.

引用

页码：672 / 679

页数：8

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