Least-squares solutions of multi-valued linear operator equations in Hilbert spaces

DOI10.1016/0021-9045(83)90155-7zbMath0519.47001OpenAlexW1978541949MaRDI QIDQ1054980

J. Blot

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90155-7

zbMATH Keywords

generalized inversesmulti-valued operatorinclusionleast-squares solutionoperator part

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (12)

Constrained extremal solutions of multi-valued linear inclusions in Banach spaces ⋮ Constrained least-squares solutions of linear inclusions and singular control problems in Hilbert spaces ⋮ Idempotent linear relations ⋮ Matrix representations of multivalued projections and least squares problems ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Normed linear relations: Domain decomposability, adjoint subspaces, and selections ⋮ Boundedness and closedness of linear relations ⋮ Criteria for the single-valued metric generalized inverses of multi-valued linear operators in Banach spaces ⋮ Metric generalized inverse for linear manifolds and extremal solutions of linear inclusion in Banach spaces ⋮ Multivalued Fredholm type operators with abstract generalized inverses ⋮ Essential spectra of linear relations ⋮ Unnamed Item

Cites Work

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• New extremal characterizations of generalized inverse of linear operators
• Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces
• Gradient Method for Nondensely Defined Closed Unbounded Linear Operators

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