It is well known that weakly p-summable sequences in a Banach space E are associated to
bounded operators from ℓ p⁎ to E, and unconditionally p-summable sequences in E are …

Let X 1,…, X n, Y be classes of Banach spaces-valued sequences. An n-linear operator A
between Banach spaces belongs to the ideal of (X 1,…, X n; Y)-summing multilinear …

In the nonlinear field of multilinear operators and homogeneous polynomials between
Banach spaces, we develop a technique, based on the transformation of vector-valued …

Positive Cohen p-nuclear m-homogeneous polynomials Page 1 Surveys in Mathematics and
its Applications ISSN 1842-6298 (electronic), 1843-7265 (print) Volume 18 (2023), 107 – 121 …

In this work we define a class of injective-type norm on tensor products through the
environment of sequence classes. Examples and results on this norm will be presented and …

In this paper we continue the investigation of classes of vector-valued sequences that are
represented by Banach operator ideals. By a procedure we mean a correspondence\(X …

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 …

‎ In this paper‎,‎ we study the ideal of strongly $(p,\sigma) $-continuous‎ polynomials that
extends the nowadays well-known ideal of Cohen strongly‎ $ p $-summing polynomials to …

Abstract The Orlicz (ℓ 2, ℓ 1)-mixed inequality states that (∑ j 1= 1 n (∑ j 2= 1 n| A (ej 1, ej
2)|) 2) 1 2≤ 2‖ A‖ for all bilinear forms A: K n× K n→ K and all positive integers n, where K …

In this paper we define and study a vector-valued sequence space, called the space of
anisotropic (s, q, r)-summable sequences, that generalizes the classical space of (s; q) …