TY - JOUR AU - Swartz, Charles PY - 2017/04/24 Y2 - 2024/03/29 TI - A gliding hump property and banach-mackey spaces JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 20 IS - 2 SE - DO - 10.4067/S0716-09172001000200007 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1510 SP - 243-261 AB - We consider the Banach–Mackey property for pairs of vector spaces E and E0 which are in duality. Let A be an algebra of sets and assume that P is an additive map from A into the projection operators on E. We define a continuous gliding hump property for the map P and show that pairs with this gliding hump property and another measure theoretic property are Banach-Mackey pairs, i. e., weakly bounded subsets of E are strongly bounded. Examples of vector valued function spaces, such as the space of Pettis integrable functions, which satisfy these conditions are given. ER -