NOTE ON NORM IDEALS AND THE OPERATOR X-] AX - XB

被引：29
作者：
FIALKOW, LA
机构：
[1] Department of Mathematics, Western Michigan University, Kalamazoo, 49008, Michigan
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1979年 / 32卷 / 04期
关键词：
D O I：
10.1007/BF02760462
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For operators A and B on a Hilbert space ℋ, let τ denote the operator on ℒ(ℋ) defined by τ(X)=AX-XB. Several equivalent conditions are given for τ to be surjective or bounded below. Analogues of these results are given for the restrictions of τ to norm ideals, and the norms of these restrictions are estimated. © 1979 The Weizmann Science Press of Israel.
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页码：331 / 348
页数：18
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