An index formula for the product of linear relations
From MaRDI portal
Publication:734930
DOI10.1016/j.laa.2009.07.011zbMath1176.47014OpenAlexW2130382049MaRDI QIDQ734930
Adrian Sandovici, Hendrik S. V. de Snoo
Publication date: 14 October 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.011
indexdefectnullityFredholm indexlinear relationco-defectco-indexco-nullitymulti-valued part of a linear relation
(Semi-) Fredholm operators; index theories (47A53) Linear relations (multivalued linear operators) (47A06)
Related Items (44)
Perturbations results for some classes related to Browder linear relations and applications ⋮ Left- and right-Atkinson linear relation matrices ⋮ Improjective linear relations ⋮ Coperturbation function and lower semi-Browder multivalued linear operators ⋮ Positive linear relations between Riesz spaces ⋮ Finite rank perturbations of linear relations and matrix pencils ⋮ On domains and ranges of powers of linear relations in linear spaces ⋮ A new decomposition for multivalued 3 × 3 matrices ⋮ The index of a linear relation under strictly singular perturbations ⋮ Drazin inverse of multivalued operators and its applications ⋮ On operator factorization of linear relations ⋮ On the essential minimum and essential surjectivity moduli of linear relations in Banach spaces ⋮ Necessary conditions for extended spectral decomposable multivalued linear operators ⋮ On perturbation of Drazin invertible linear relations ⋮ Weyl's type theorems for linear relations satisfying the single valued extension property ⋮ On the structure of essentially semi-regular linear relations ⋮ A generalized von Neumann's theorem for linear relations in Hilbert spaces ⋮ Spectra for upper triangular linear relation matrices through local spectral theory ⋮ Generalized weakly demicompact and \(S\)-demicompact linear relations and their spectral properties ⋮ Saphar linear relations and perturbations ⋮ Sufficient conditions for extended spectral decomposable multi-valued linear operators ⋮ Perturbations of Fredholm linear relations in Banach spaces with application to \(3 \times 3\)-block matrices of linear relations ⋮ Characterizations of inessential linear relations ⋮ Some properties of upper triangular \(3\times 3\)-block matrices of linear relations ⋮ On decomposition of left-right Atkinson linear relations and related classes ⋮ Minimum modulus, perturbation for essential ascent and descent of a closed linear relation in Hilbert spaces ⋮ Stability of some essential spectra of closed linear relations on Banach spaces ⋮ STRICTLY SINGULAR PERTURBATION OF ALMOST SEMI-FREDHOLM LINEAR RELATIONS IN NORMED SPACES ⋮ Spectral mapping theorem for Rakocević and Schmoeger essential spectra of a multivalued linear operator ⋮ Pseudo B-Fredholm linear relations and spectral theory ⋮ Quasi-Fredholm linear relations in Hilbert spaces ⋮ A characterization of some subsets of essential spectra of a multivalued linear operator ⋮ Quasi-Fredholm and semi-B-Fredholm linear relations ⋮ Finite rank and small perturbations of linear relations ⋮ On the essential spectra of some matrix of linear relations ⋮ \(B\)-Fredholm linear relations in Hilbert spaces ⋮ On essentially semi regular linear relations ⋮ On a rational function in a linear relation ⋮ Quotient morphisms, compositions, and Fredholm index ⋮ Isolated spectral points of a linear relation ⋮ Quotient of linear relations and applications ⋮ Left-right fredholm and left-right browder linear relations ⋮ Polynomial in a Saphar linear relation in a Banach space ⋮ Gap formulas for closed linear relations
Cites Work
- Unnamed Item
- Unnamed Item
- Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces
- An index theorem for the product of linear relations
- An algebraic version of the multiplication property of the Fredholm index
- Theorems on ascent, descent, nullity and defect of linear operators
- Ascent, descent, nullity and defect, a note on a paper by A.E. Taylor
- The Multiplication Theorem for Fredholm Operators
This page was built for publication: An index formula for the product of linear relations