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Global solutions of approximation problems in Hilbert spaces
Maximiliano Contino, Maria Eugenia Di Iorio y Lucero, Guillermina Fongi
We study three well-known minimization problems in Hilbert spaces: the weighted least squares problem and the related problems of abstract splines and smoothing. In each case we an…
Proper subspaces and compatibility
Esteban Andruchow, Eduardo Chiumiento, María Eugenia Di Iorio y Lucero
Let be a Banach space contained in a Hilbert space . Assume that the inclusion is continuous with dense range. Following the terminology of Gohberg and Z…
The compatible Grassmannian
E. Andruchow, E. Chiumiento, M. E. Di Iorio y Lucero
Let be a positive injective operator in a Hilbert space (\h, <,>), and denote by [,] the inner product defined by A: [f,g]=<Af,g>. A closed subspace $\s \subset \h$ is called A…