The five lemma for Banach spaces
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- by A. J. Pryde PDF
- Proc. Amer. Math. Soc. 65 (1977), 37-43 Request permission
Abstract:
We prove a version of the five lemma which is useful for the study of boundary value problems for partial differential equations. The results are given in the category $\mathcal {B}$ of Banach spaces and bounded linear operators, and all conditions are stated modulo an arbitrary ideal of $\mathcal {B}$. We also show that the results are valid in more general categories.References
- J. R. Retherford, Applications of Banach ideals of operators, Bull. Amer. Math. Soc. 81 (1975), no. 6, 978–1012. MR 412834, DOI 10.1090/S0002-9904-1975-13881-X
- Martin Schechter, Basic theory of Fredholm operators, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 21 (1967), 261–280. MR 223930 —, Spectra of partial differential operators, North-Holland, Amsterdam, 1971.
- Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 37-43
- MSC: Primary 46M20; Secondary 47A50
- DOI: https://doi.org/10.1090/S0002-9939-1977-0450998-8
- MathSciNet review: 0450998