Fredholm Properties of the Difference of Orthogonal Projections in a Hilbert Space

被引：0
|
作者：
J. J. Koliha
V. Rakočević
机构：
[1] University of Melbourne,Department of Mathematics and Statistics
[2] University of Niš,Faculty of Science and Mathematics
来源：
Integral Equations and Operator Theory | 2005年 / 52卷
关键词：
Primary 47A53; Secondary 15A09; Hilbert space; orthogonal projection; Fredholm operator;
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学科分类号：
摘要：
Buckholtz (Proc. Amer. Math. Soc. 128 (2000), 1415–1418) gave necessary and sufficient conditions for the invertibility of the difference of two orthogonal projections in a Hilbert space. We generalize this result by investigating when the difference of such projections is a Fredholm operator, and give an explicit formula for its Fredholm inverse.
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页码：125 / 134
页数：9
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