info:eu-repo/semantics/article
Lifting some approximation properties from a dual space X0 to the Banach space X
Fecha
2020-10Registro en:
Kim, Ju Myung; Lassalle, Silvia Beatriz; Turco, Pablo Alejandro; Lifting some approximation properties from a dual space X0 to the Banach space X; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 257; 3; 10-2020; 287-294
0039-3223
CONICET Digital
CONICET
Autor
Kim, Ju Myung
Lassalle, Silvia Beatriz
Turco, Pablo Alejandro
Resumen
For a fixed Banach operator ideal A, we characterize A-compact sets (in the sense of Carl and Stephani) that are determined by c0 via the Banach composition ideal A ◦K∞, with K∞ the Banach ideal of Fourie and Swart. This characterization allows us to relate KA-approximation properties on a Banach space and KB-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