Generalized Fredholm property and a priori estimates for linear operators on tensor products of Hilbert spaces

被引:0
作者
V. S. Pilidi
机构
[1] Rostov State University,
来源
Mathematical Notes | 1998年 / 64卷
关键词
Hilbert space; -algebra; Fredholm property; estimates;
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摘要
For a linear operator acting in a Hilbert space, the generalized Fredholm property (invertibility modulo a certain ideal) is proved to be equivalent to certaina priori estimates. This result is applied to establish a connection between properties of linear operators on tensor products of Hilbert spaces, such asn- andd-normality, the (generalized and ordinary) Fredholm property, and appropriatea priori estimates.
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页码:778 / 786
页数:8
相关论文
共 3 条
[1]  
Cordes H. O.(1967)On a class of Math. Ann. 170 283-313
[2]  
Pilidi V. S.(1971)-algebras Dokl. Akad. Nauk SSSR 201 787-789
[3]  
Calkin J. W.(1941)On multidimensional bisingular operators Ann. of Math. 42 839-873