Completeness of eigenvectors in Banach spaces
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- by Harold E. Benzinger PDF
- Proc. Amer. Math. Soc. 38 (1973), 319-324 Request permission
Abstract:
We prove a general theorem on the completeness of the eigenvectors of linear operators in a Banach space. We then derive asymptotic estimates for the Green’s functions of two-point boundary value problems which allow us to apply the above theorem to a wide class of such problems in the spaces ${L^p}(0,1),1 \leqq p < \infty$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 319-324
- MSC: Primary 47A70; Secondary 34B25
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318941-6
- MathSciNet review: 0318941