Generalized weakly demicompact and \(S\)-demicompact linear relations and their spectral properties

DOI10.1007/s11253-023-02261-zOpenAlexW4389479739MaRDI QIDQ6148027

Aref Jeribi, Majed Fakhfakh

Publication date: 11 January 2024

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-023-02261-z

Mathematics Subject Classification ID

Operator theory (47-XX) General theory of linear operators (47Axx) Nonlinear operators and their properties (47Hxx)

Cites Work

• An index formula for the product of linear relations
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Functional analysis, Sobolev spaces and partial differential equations
• Demicompact and \(k\)-\(D\)-set-contractive multivalued linear operators
• Multivalued linear operators and degenerate evolution equations
• Stability of the essential spectrum of the diagonally and off-diagonally dominant block matrix linear relations
• Relative essential spectra involving relative demicompact unbounded linear operators
• Construction of fixed points of demicompact mappings in Hilbert space
• Spectral properties involving generalized weakly demicompact operators
• Spectral properties for generalized weakly S-demicompact operators
• SHECHTER SPECTRA AND RELATIVELY DEMICOMPACT LINEAR RELATIONS
• Nonlinear Functional Analysis in Banach Spaces and Banach Algebras
• Perturbation theory of multivalued atkinson operators in normed spaces
• Functional Operators (AM-22), Volume 2
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