A BANACH ALGEBRA APPROACH TO THE FREDHOLM THEORY OF PSEUDODIFFERENTIAL OPERATORS

被引:0
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作者
孙顺华
机构
[1] Chengdu
[2] Sichuan University
[3] Department of Mathematics
关键词
A BANACH ALGEBRA APPROACH TO THE FREDHOLM THEORY OF PSEUDODIFFERENTIAL OPERATORS; AZ; 门吸;
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摘要
A Banach algebra approach is exhibited in this paper so as to show that an elliptic pseudo-differential operator matrix of ordor N is a Fredholm operator on L(R)(p>1) if and onlyif the determinant of the associated symbol matrix vanishes nowhere. For the special cases,p=2 or N=1,the result is well known.
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页码:337 / 344
页数:8
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