Fraïssé sequences: category-theoretic approach to universal homogeneous structures -
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A projectional skeleton in a Banach space is a σ-directed family of projections onto
separable subspaces, covering the entire space. The class of Banach spaces with …

Given a compact space K, we denote by P (K) the space of all Radon probability measures
on K, equipped with the weak* topology inherited from C (K)*. For nonmetrizable compacta …

Let be a Banach space with a fundamental biorthogonal system, and let be the dense
subspace spanned by the vectors of the system. We prove that admits a-smooth norm that …

We investigate possible quantifications of the Dunford–Pettis property. We show, in
particular, that the Dunford–Pettis property is automatically quantitative in a sense. Further …

We prove that Banach spaces with a 1‐projectional skeleton form a P‐class and deduce that
any such space admits a strong Markushevich basis. We provide several equivalent …

We prove that the predual of any JBW⁎-algebra is a complex 1-Plichko space and the
predual of any JBW-algebra is a real 1-Plichko space. Ie, any such space has a countably 1 …

We investigate the preduals of JBW*-triples from the point of view of Banach space theory.
We show that the algebraic structure of a JBW*-triple M naturally yields a decomposition of …

We prove that the predual of any von Neumann algebra is 1-Plichko, ie, it has a countably 1-
norming Markushevich basis. This answers a question of the third author who proved the …

We survey several results concerning norming Markushevich bases (M-bases, for short),
focusing in particular on two recent examples of a weakly compactly generated Banach …