TY - JOUR AU - Suárez Granero, Antonio AU - Jiménez Sevilla, María Del Mar AU - Montesinos, Alejandro AU - Moreno, José Pedro AU - Plichko, Anatolij PY - 2003 SN - 0039-3223 UR - https://hdl.handle.net/20.500.14352/58609 T2 - Studia Mathematica AB - We introduce and study the Kunen-Shelah properties KSi, i = 0, 1,..., 7. Let us highlight for a Banach space X some of our results: (1) X ∗ has a w ∗-nonseparable equivalent dual ball iff X has an ω1-polyhedron (i.e., a bounded family {xi}i<ω1 such... LA - eng M2 - 97 PB - Polish Acad Sciencies Inst Mathematics KW - Uncountable basic sequences KW - Biorthogonal and Markuschevich systems KW - W-independence KW - Kunen-Shelah properties. TI - On the Kunen-Shelah properties in Banach spaces TY - journal article VL - 157 ER -