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A Jordan-like decomposition for linear relations in finite-dimensional spaces
Thomas Berger, Henk de Snoo, Carsten Trunk +1
A square matrix has the usual Jordan canonical form that describes the structure of via eigenvalues and the corresponding Jordan blocks. If is a linear relation in a fi…
Linear relations and their singular chains
Thomas Berger, Henk de Snoo, Carsten Trunk +1
Singular chain spaces for linear relations in linear spaces play a fundamental role in the decomposition of linear relations in finite-dimensional spaces. In this paper singular ch…
Selfadjoint extensions of relations whose domain and range are orthogonal
Seppo Hassi, Jean-Philippe Labrousse, Henk de Snoo
The selfadjoint extensions of a closed linear relation from a Hilbert space to a Hilbert space are considered in the Hilbert space ${\mathfr…
Lebesgue type decompositions for linear relations and Ando's uniqueness criterion
Seppo Hassi, Zoltán Sebestyén, Henk de Snoo
A linear relation, i.e., a multivalued operator from a Hilbert space to a Hilbert space has Lebesgue type decompositions , where…
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square
H. S. V. de Snoo, H. Winkler, M. Wojtylak
A generalized Nevanlinna function with one negative square has precisely one generalized zero of nonpositive type in the closed extended upper halfplane. The fractional line…
A canonical decomposition for linear operators and linear relations
S. Hassi, Z. Sebestyén, H. S. V. de Snoo +1
An arbitrary linear relation (multivalued operator) acting from one Hilbert space to another Hilbert space is shown to be the sum of a closable operator and a singular relation who…