INVESTIGADORES
LASSALLE Silvia Beatriz
artículos
Título:
Lifting some approximation properties from a dual space X' to the Banach space X
Autor/es:
KIM, J. M.; LASSALLE, S.; TURCO, P.
Revista:
STUDIA MATHEMATICA
Editorial:
POLISH ACAD SCIENCES INST MATHEMATICS
Referencias:
Año: 2021 p. 287 - 294
ISSN:
0039-3223
Resumen:
Fixed a Banach operator ideal A, we characterize A-compact sets (in the sense of Carl and Stephani) that are determined by c_0 via the Banach composition ideal A o K_inf, with K_inf the Banach ideal of Fourie and Swart. This characterization allows us to relate K_A-approximation properties on a Banach space and K_B-approximation properties on its dual space, where A and B are ideals linked by some classical procedures. These approximation properties have been widely studied in several papers in the last years.
