Eigenvalues of quasibounded maximal monotone operators
نویسندگان
چکیده
0 ∈ Tx + λCx, where T : D(T )⊂ X → 2X is a strongly quasibounded maximal monotone operator and C : D(C)⊂ X → X∗ satisfies the condition (S+)D(C) with L⊂ D(C). The method of approach is to use a topological degree theory for (S+)L-perturbations of strongly quasibounded maximal monotone operators, recently developed by Kartsatos and Quarcoo. Moreover, applying degree theory, a variant of the Fredholm alternative on the surjectivity of the operator λT + C is discussed, where we assume that λ is not an eigenvalue for the pair (T ,C), T and C are positively homogeneous, and C satisfies the condition (S+)L.
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