COMPACT LINEAR RELATIONS AND THEIR SPECTRAL PROPERTIES KESHAV RAJ ACHARYA AND MATT MCBRIDE

DOI10.21608/ejmaa.2023.284576arXiv1909.05124OpenAlexW4320886301MaRDI QIDQ6142965

Keshav Raj Acharya, Matt McBride

Publication date: 23 January 2024

Published in: Electronic Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05124

zbMATH Keywords

compact linear relationspectrum of linear relations

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear relations (multivalued linear operators) (47A06)

Cites Work

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• Spectral theory for linear relations via linear operators
• Essential spectra of linear relations
• Operational calculus of linear relations
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• Self-adjoint extensions of symmetric subspaces
• Positive selfadjoint extensions of positive symmetric subspaces
• Spectral theory of canonical systems
• On completeness of spectral subspaces of linear relations and ordered pairs of linear operators
• Self-adjoint extension and spectral theory of a linear relation in a Hilbert space
• Spectral theory of linear relations on real Banach spaces
• Congruent spectrum for compact linear relations
• Componentwise and Cartesian decompositions of linear relations
• Boundedness and closedness of linear relations
• Summability Theory and Its Applications
• Sequence Spaces
• Extremal extensions for the sum of nonnegative selfadjoint relations
• Extension theory of formally normal and symmetric subspaces

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