A new class of Banach spaces and its relation with some geometric properties of Banach spaces (Q417104)

Summary: By introducing the concept of \(L\)-limited sets and then \(L\)-limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and reciprocal Dunford-Pettis property. Some complementabilities of operators on such Banach spaces are also investigated.