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Linear fractional transformations of Nevanlinna functions associated with a nonnegative operator
(Birkhäuser, 2013-04)
- article
In the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space. This class consists ...
Operational calculus for rows, columns, and blocks of linear relations
(Springer, 2020-06-22)
- article
Columns and rows are operations for pairs of linear relations in Hilbert spaces, modelled on the corresponding notions of the componentwise sum and the usual sum of such pairs. The introduction of matrices whose entries ...
Boundary value problems, Weyl functions, and differential operators
(Birkhäuser, Cham, 2020)
- book
This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained ...
Factorized sectorial relations, their maximal-sectorial extensions, and form sums
(Springer, 2019-05-25)
- article
In this paper we consider sectorial operators, or more generally, sectorial relations and their maximal-sectorial extensions in a Hilbert space H. Our particular interest is in sectorial relations S, which can be expressed ...