EIGENFUNCTION EXPANSIONS IN BANACH SPACES.
Technical summary rept.,
MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON
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It is shown that the property of being a basis in a reflexive Banach space for a set of vectors, in particular the eigenfunctions of an unbounded operator, is preserved under certain perturbations. As an application the author shows that a large class of 2nd order differential operators with operator valued coefficients have bases of eigenfunctions in Lp0, 1, 1 p infinity. Author
- Theoretical Mathematics