Abstract
Let {λn} ℞n=0 be the eigenvalue sequence of a symmetric Hilbert-Schmidt operator onL 2(I). WhenI is an open interval, a necessary condition for {λn} ℞n=0 to be in the sequence space Γ is obtained. WhenI is a closed bounded interval, sufficient conditions for {λn} ℞n=0 to be in the sequence space Г− are obtained.
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