In this paper we present two different results in the context of nonlinear analysis. The first
one is essentially a nonlinear technique that, in view of its strong generality, may be useful in …

In this paper we provide a unifying approach to the study of Banach ideals of linear and
multilinear operators defined, or characterized, by the transformation of vector-valued …

The notion of p-summing Bloch mapping from the complex unit open disc D into a complex
Banach space X is introduced for any 1≤ p≤∞. It is shown that the linear space of such …

We introduce the new ideal of strongly-continuous linear operators in order to study the
adjoints of the-absolutely continuous linear operators. Starting from this ideal we build a new …

This paper introduces the class of p 1,…, pm, σ, q, ν-nuclear m-linear operators between
Banach spaces, as an intermediate space between the class of nuclear multilinear operators …

We introduce the new class of the (p; p1,…, pm; σ)-absolutely continuous multilinear
operators, that is defined using a summability property that provides the multilinear version …

We introduce and investigate the concept of two-Lipschitz operator ideal between pointed
metric spaces and Banach spaces. We show the basics of this new theory and we give a …

Considering the successful theory of multiple summing multilinear operators as a prototype,
we introduce the classes of multiple Cohen strongly p-summing multilinear operators and …

We introduce and study a new concept of summability in the category of Lipschitz operators,
which we call Lipschitz $\tau (p) $-summability. We give some characterizations in terms of a …

In this paper we investigate connections between the class of Cohen strongly summing
multilinear operators and other classes of multilinear mappings, such as multiple summing …