Basisness of Fucik eigenfunctions for the Dirichlet Laplacian

Abstract

We provide improved sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Dirichlet Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in L2(0,π). For that purpose, we introduce a criterion for a sequence in a Hilbert space to be a Riesz basis.

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