A new characterization of the generalized inverse using projections on level sets

DOI10.1016/j.jat.2018.07.002zbMath1402.41005OpenAlexW2886037257MaRDI QIDQ1784977

Ariel L. Babierra, Noli N. Reyes

Publication date: 27 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.jat.2018.07.002

zbMATH Keywords

Hilbert spacesMoore-Penrose generalized inverseapproximation of metric projections on level setsinversion of frame operatorinversion of positive self-adjoint operatorsstrongly annihilating subspaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Rate of convergence, degree of approximation (41A25) Compactness in Banach (or normed) spaces (46B50) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Approximation by convex sets (52A27) Inner product spaces and their generalizations, Hilbert spaces (46C99) Approximations and expansions (41A99) Miscellaneous applications of functional analysis (46N99) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

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