On the reduced minimum modulus of a linear relation in Hilbert spaces

DOI10.1007/s11785-011-0173-yzbMath1294.47002OpenAlexW1984612303MaRDI QIDQ371822

Teresa Alvarez, Adrian Sandovici

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0173-y

zbMATH Keywords

Hilbert spacereduced minimum moduluslinear relationspectrum of a linear relation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear relations (multivalued linear operators) (47A06)

Related Items

On the essential minimum and essential surjectivity moduli of linear relations in Banach spaces ⋮ Partial isometries and generalized inverses of linear relations ⋮ New additive results for the Drazin inverse of multivalued operators ⋮ Minimum modulus, perturbation for essential ascent and descent of a closed linear relation in Hilbert spaces ⋮ Characteristic matrix of a closed linear relation ⋮ Quotient of linear relations and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Form sums of nonnegative selfadjoint operators
• Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces
• A characterization of closed range operators
• The reduced minimum modulus
• Componentwise and Cartesian decompositions of linear relations
• The Kato decomposition of quasi-Fredholm relations
• The minimum modulus of a linear operator and its use in spectral theory
• The Cayley transform of linear relations

This page was built for publication: On the reduced minimum modulus of a linear relation in Hilbert spaces