On weakly compact multilinear operators and interpolation

A Manzano, M Mastyło - Advances in Operator Theory, 2025 - Springer
We study weakly compact multilinear operators. We prove a variant of Gantmacher's weak
compactness theorem for multilinear operators. We also present Lions–Peetre type results …

Closed surjective ideals of multilinear operators and interpolation

A Manzano, P Rueda, EA Sánchez-Pérez - Banach Journal of …, 2021 - Springer
In this paper we introduce a function for multilinear operators that can be considered as an
extension of the so-called outer measure associated to a linear operator ideal. We prove that …

On a theorem of Terzioğlu

AG Aksoy - Turkish Journal of Mathematics, 2019 - journals.tubitak.gov.tr
The theory of compact linear operators acting on a Banach space has a classical core and is
familiar to many. Perhaps less known is the characterization theorem of Terzioğlu for …

Compactness and -numbers for polynomials

E Çalışkan, P Rueda - Rendiconti Lincei, 2018 - ems.press
Functional Analysis — Compactness and s-numbers for polynomials, by Erhan Caliskan and
Pilar Rueda, communicated on April 2 Page 1 Rend. Lincei Mat. Appl. 29 (2018), 93–107 DOI …

Entropy numbers and box dimension of polynomials and holomorphic functions

D Carando, C D'Andrea, LA Torres… - Mathematische …, 2024 - Wiley Online Library
We study entropy numbers and box dimension of (the image of) homogeneous polynomials
and holomorphic functions between Banach spaces. First, we see that entropy numbers and …

Measures of noncompactness of interpolated polynomials

M Mastyło, EB da Silva - Forum Mathematicum, 2023 - degruyter.com
We study interpolation of the measure of noncompactness of homogeneous polynomials on
Banach spaces. We prove that, for a large class of interpolation functors, preserving …

Entropy numbers of bilinear operators and related classes of type ℓp, q

DL Fernandez, EB da Silva - Journal of Mathematical Analysis and …, 2021 - Elsevier
Entropy numbers of bilinear operators are introduced and studied. The relationships among
bilinear versions of linear properties and theorems, which are well-known in the linear case …

Pietsch's variants of s-numbers for multilinear operators

DL Fernandez, M Mastyło, EB Silva - Revista de la Real Academia de …, 2021 - Springer
We study variants of s-numbers in the context of multilinear operators. The notion of an s^(k)
s (k)-scale of k-linear operators is defined. In particular, we shall deal with multilinear …

[PDF][PDF] The Australian Journal of Mathematical Analysis and Applications

DL FERNANDEZ, EB SILVA - ajmaa.org
Bilinear Regular Operators on Quasi-Normed Functional Spaces Page 1 The Australian
Journal of Mathematical Analysis and Applications AJMAA Volume 14, Issue 1, Article 5, pp …

[PDF][PDF] s-Numbers sequences for homogeneous polynomials

E Caliskan, P Rueda - arXiv preprint arXiv:1501.00785, 2015 - arxiv.org
We extend the well known theory of $ s $-numbers of linear operators to homogeneous
polynomials defined between Banach spaces. Approximation, Kolmogorov and Gelfand …