An Index Theorem for Linear Relations and Its Applications to the Study of Block Relation Matrices

DOI10.1134/S0016266323050015MaRDI QIDQ6495802

Ayoub Ghorbel, Maher Mnif

Publication date: 2 May 2024

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Operator theory (47-XX)

Cites Work

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• Left- and right-Atkinson linear relation matrices
• Essential spectra of linear relations
• Selfadjoint extensions of regular canonical systems with Stieltjes boundary conditions
• Browder spectra and essential spectra of operator matrices
• Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces
• Essential approximate point spectra for upper triangular matrix of linear relations
• Drazin inverse of multivalued operators and its applications
• Browder spectra of upper triangular matrix linear relations
• Perturbation Results for Multivalued Linear Operators
• Perturbation theory of lower semi-Browder multivalued linear operators
• The Ghost of an Index Theorem
• Spectral analysis of linear relations and degenerate operator semigroups
• Invertible completions of $2\times 2$ upper triangular operator matrices
• Multivalued linear projections
• Polynomial in a Saphar linear relation in a Banach space
• Functional Operators (AM-21), Volume 1
• Multivalued Fredholm type operators with abstract generalized inverses

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