On the Criteria of Transversality and Disjointness of Nonnegative Self-Adjoint Extensions of Nonnegative Symmetric Operators

• Published in: Ukrainian mathematical journal Vol. 70; no. 4; pp. 568 - 580
• Main Author: Kovalev, Yu. G.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.09.2018; Springer Nature B.V
• Subjects: Algebra; Analysis; Applications of Mathematics; Criteria; Geometry; Mathematics; Mathematics and Statistics; Operators (mathematics); Statistics

We propose a criterion of transversality and disjointness for the Friedrichs and Krein extensions of a nonnegative symmetric operator in terms of the vectors { φ j , j ϵ 𝕁} that form a Riesz basis of the defect subspace. The criterion is applied to the Friedrichs and Krein extensions of the minimal...