Frobenius-Schur factorization for multivalued \(2\times2\) matrices linear operator

DOI10.1007/s00009-016-0825-2zbMath1476.47004OpenAlexW2566429064MaRDI QIDQ523662

Aref Jeribi, Aymen Ammar, Bilel Saadaoui

Publication date: 21 April 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0825-2

zbMATH Keywords

linear relationblock linear relation matrixFrobenius-Schur decomposition

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear relations (multivalued linear operators) (47A06) Operator matrices (47A08)

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Cites Work

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• Spectral mapping theorem for Rakocević and Schmoeger essential spectra of a multivalued linear operator
• Linear relations as generators of semigroups of operators
• Essential spectra of linear relations
• Essential spectra of some matrix operators and application to two-group transport operators with general boundary conditions
• Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces
• An index theorem for the product of linear relations
• A characterization of the Schechter essential spectrum on Banach spaces and applications
• Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements.
• On the essential spectrum of matrix operators
• Multivalued linear operators and degenerate evolution equations
• On a characterization of the essential spectra of some matrix operators and application to two-group transport operators
• Browder spectra of upper triangular matrix linear relations
• The Kato decomposition of quasi-Fredholm relations
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• Operator Interpretation of Resonances Arising in Spectral Problems for 2 × 2 Operator Matrices
• Spectral analysis of linear relations and degenerate operator semigroups
• The Essential Spectrum of Some Matrix Operators
• A characterization of some subsets of S-essential spectra of a multivalued linear operator
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices
• Invariance of the essential spectrum
• On the essential spectra of some matrix of linear relations
• Spectral problems for operator matrices
• Functional Operators (AM-22), Volume 2