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Expansions associated with nonselfadjoint boundary value problems


Author: Robert Carlson
Journal: Proc. Amer. Math. Soc. 73 (1979), 173-179
MSC: Primary 47E05; Secondary 34B25
DOI: https://doi.org/10.1090/S0002-9939-1979-0516459-4
MathSciNet review: 516459
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Abstract: Eigenfunction expansions are given for a class of non-self-adjoint boundary-value problems. The results apply to systems of ordinary differential equations, some of whose coefficients may be arbitrary bounded Hilbert space operators.


References [Enhancements On Off] (What's this?)

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  • [2] E. A. Coddington and A. Dijksma, Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces (to appear). MR 533601 (81k:47036)
  • [3] E. A. Coddington and N. Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, 1955. MR 0069338 (16:1022b)
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  • [5] S. Goldberg, Unbounded linear operators, McGraw-Hill, New York, 1966. MR 0200692 (34:580)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0516459-4
Article copyright: © Copyright 1979 American Mathematical Society

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