Sums of eigenvalues of strictly J-positive compact operators
نویسندگان
چکیده
منابع مشابه
An Interlacing Property of Eigenvalues of Strictly Totally Positive Matrices
We prove results concerning the interlacing of eigenvalues of principal submatrices of strictly totally positive matrices. §
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Let T be a linear compact operator on a Hilbert space H, Aj be its eigenvalues, IA,1 > /& > ,..., rj be the moduli of the real parts of the eigenvalues ordered so that r, > r2 .... Note that rj is not necessarily equal to 1 Re ;ljj. Let Lj be the eigensubspace of T corresponding to Aj, yj be the eigensubspace of T corresponding to rj, zj = Cjk,, i L,, aj = xi=, -k Mk. Let tj be the moduli of th...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1973
ISSN: 0022-247X
DOI: 10.1016/0022-247x(73)90150-9