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In this paper we analyse when every element of $ X\widehat {\otimes} _\pi Y $ attains its
projective norm. We prove that this is the case if $ X $ is the dual of a subspace of a predual …

In this paper, we introduce a concept of norm-attainment in the projective symmetric tensor
product of a Banach space X, which turns out to be naturally related to the classical norm …

We show that the duals of Banach algebras of scalar-valued bounded holomorphic functions
on the open unit ball BE of a Banach space E lack weak⁎-strongly exposed points …

In this paper, we study a Bishop–Phelps–Bollobás type property called the property L o, o of
a pair of Banach spaces. Getting motivated by this, we introduce the notion of Approximate …

In this paper, we study the (uniform) strong subdifferentiability of the norms of the Banach
spaces $\mathcal {P}(^ NX, Y^*) $, $ X\hat {\otimes} _\pi\cdots\hat {\otimes} _\pi X $ and $\hat …

The aim of this note is to obtain results about when the norm of a projective tensor product is
strongly subdifferentiable. We prove that if X⊗^ π Y is strongly subdifferentiable and either X …

We prove that the norm of $ X\widehat {\otimes} _\pi Y $ is SSD if either $ X=\ell_p (I) $ for $
p> 2$ and $ Y $ is a finite-dimensional Banach space such that the modulus of convexity is …

We prove when a Banach ideal of linear operators defined, or characterized, by the
transformation of vector-valued sequences is maximal. Known results are recovered as …

This paper deals with a weaker form of the property so called L o, o for operators, which we
call the property weak L o, o for operators. We characterize this property in terms of …