The structure of linear relations in Euclidean spaces

DOI10.1016/j.laa.2004.10.008zbMath1088.15004OpenAlexW2050070485MaRDI QIDQ1774966

Henrik Winkler, Adrian Sandovici, Hendrik S. V. de Snoo

Publication date: 4 May 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.008

zbMATH Keywords

eigenvaluesEuclidean spacemultivalued operatorlinear relationcompletely singular relationsJordan relationsmultishiftsorthogonal sum decomposition

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items

Topology of angle valued maps, bar codes and Jordan blocks ⋮ Finite rank perturbations of linear relations and matrix pencils ⋮ Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces ⋮ The class of B-Fredholm linear relations ⋮ On Characteristic Invariants of Matrix Pencils and Linear Relations ⋮ Linear relations and the Kronecker canonical form ⋮ On the structure of essentially semi-regular linear relations ⋮ The quasi-Weierstrass form for regular matrix pencils ⋮ Operators without eigenvalues in finite-dimensional vector spaces ⋮ The gap distance to the set of singular matrix pencils ⋮ Pseudo B-Fredholm linear relations and spectral theory ⋮ On the range of upper triangular relation matrices

Cites Work

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• Operational calculus of linear relations
• Regular boundary value problems associated with pairs of ordinary differential expressions
• The Krein formula for generalized resolvents in degenerated inner product spaces
• Selfadjoint extensions of symmetric operators in degenerated inner product spaces
• Theorems on ascent, descent, nullity and defect of linear operators