On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems
نویسندگان
چکیده
منابع مشابه
Riesz Bases of Root Vectors of Indefinite Sturm-liouville Problems with Eigenparameter Dependent Boundary Conditions. Ii
We employ an operator theoretic setting established in [2]. Under Condition 2.1 below, a self-adjoint (actually quasi-uniformly positive [7]) operator A in the Krein space L2,r(−1, 1)⊕C 2 ∆ is associated with the eigenvalue problem (1.1), (1.2). Here ∆ is a 2 × 2 nonsingular Hermitean matrix which is determined by M and N; see Section 2 for details. We remark that the topology of this Krein spa...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2014
ISSN: 0025-584X
DOI: 10.1002/mana.201300104