The article focuses on characterizing non-commutative symmetric spaces that possess the
ball-covering property, providing new examples of both commutative and non-commutative …

It is known that a Banach space contains an isomorphic copy of $ c_0 $ if, and only if, it can
be equivalently renormed to be almost square. We introduce and study transfinite versions …

We extend the (attaining of) strong diameter two property to infinite cardinals. In particular, a
Banach space has the 1-norming attaining strong diameter two property with respect to ω (1 …

We introduce slicely countably determined points (SCD points) of a bounded and convex
subset of a Banach space which extends the notions of denting points, strongly regular …

A result of G. Godefroy asserts that a Banach space X contains an isomorphic copy of ℓ 1 if
and only if there is an equivalent norm|||·||| such that, for every finite-dimensional subspace Y …

A Banach space is said to have the ball-covering property (BCP) if its unit sphere can be
covered by countably many closed or open balls off the origin. Let $ X $ be a Banach space …

We fully characterize those von Neumann algebras having the ball-covering property. We
also study the ball-covering property of noncommutative symmetric spaces. In particular, we …

We study transfinite analogues of the symmetric strong diameter two property. We
investigate the stability of these properties under c 0, ℓ∞ sums and under projective tensor …

A result of G. Godefroy asserts that a Banach space X contains an isomorphic copy of ℓ 1 if
and only if there is an equivalent norm|||⋅||| such that, for every finite-dimensional subspace …