The index of a linear relation under strictly singular perturbations

DOI10.1007/s43036-021-00180-zOpenAlexW4206271551MaRDI QIDQ2669464

Aref Jeribi, Houcem Daoud, Aymen Ammar

Publication date: 9 March 2022

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-021-00180-z

zbMATH Keywords

indexlinear relationmultivalued linear operatorFredholm and semi-Fredholm relationstrictly singular relation

Mathematics Subject Classification ID

Linear relations (multivalued linear operators) (47A06)

Cites Work

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• An index formula for the product of linear relations
• Perturbation theory for nullity, deficiency and other quantities of linear operators
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• Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces
• The perturbation of relatively open operators with reduced index
• Some results on semi-Fredholm perturbations of multivalued linear operators
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices
• Perturbation theory of multivalued atkinson operators in normed spaces
• Perturbation theory and strictly singular operators in locally convex spaces
• Functional Operators (AM-22), Volume 2

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