Asymptote of the eigenvalues of a completely continuous operator |
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Authors: | K. Kh. Boimatov |
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Affiliation: | (1) M. V. Lomonosov Moscow State University, USSR |
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Abstract: | It is proved that if(x) is the majorant of the s-numbers of a completely continuous operator A (i.e.,'(x)- 0, Sn(A) (n)) and if there are found numbers [0, 1] and r0 > 0 such that r0 (r)/(r) will be monotonic in (r0,), then for some > 0,((x) will be a majorant of the eigenvalues of A.Translated from Matematicheskie Zametki, Vol. 14, No. 4, pp. 487–492, October, 1973. |
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