INVESTIGADORES
FAVIER sergio Jose
artículos
Título:
Existence and Characterization of Best phi - Approximations by Linear Subspaces
Autor/es:
BENAVENTE, ANA; FAVIER, SERGIO; LEVIS, F
Revista:
Advances in Pure and Applied Mathematics
Editorial:
Walter de Gruyter GmbH & Co. KG
Referencias:
Lugar: Berlin; Año: 2017 vol. 8 p. 209 - 217
ISSN:
1867-1152
Resumen:
Given an Orlicz space Lφ, we give very relaxed sufficient conditions on φ to ensure that there exists a best φ-approximation from any finite dimensional bounded linear subspace S⊂Lφ. In addition, given an operator T, defined from Lφ into itself, we give necessary and sufficient conditions on T to ensure that this is a best φ-approximation operator from a linear subspace S.
