s-Numbers, Interpolation and Bilinear Operator Ideals

• Grant number: 18/19764-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: March 01, 2019
• End date: February 29, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Dicesar Lass Fernandez
• Grantee: Dicesar Lass Fernandez
• Visiting researcher: Eduardo Brandani da Silva
• Visiting researcher institution: Universidade Estadual de Maringá (UEM). Centro de Ciências Exatas (CCE), Brazil
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

Interpolation theory of Banach spaces is an active area of research within functional analysis, with applications in several other areas. Another fundamental topic is the study of the behavior and properties of bilinear and multilinear operators, and has aroused the interest of many researchers and led to the publication of several articles. In this project we will study these two subjects and their connections with the ideals of s-numbers of bilinear operators between Banach spaces. The relations and theorems of the linear case will be used as a model, aiming to establish relations between bilinear and multilinear operators with interpolation, operator ideals, compactness and s-numbers. (AU)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FERNANDEZ, DICESAR LASS; DA SILVA, EDUARDO BRANDANI. Entropy numbers of bilinear operators and related classes of type l(p,q). Journal of Mathematical Analysis and Applications, v. 497, n. 1, MAY 1 2021. (18/19764-4)

DA SILVA, EDUARDO BRANDANI; FERNANDEZ, DICESAR LASS; NEVES, MARCUS VINICIUS DE ANDRADE. Schmidt representation of bilinear operators on Hilbert spaces. INDAGATIONES MATHEMATICAE-NEW SERIES, v. 33, n. 2, p. 23-pg., 2022-02-18. (18/19764-4)

DA SILVA, EDUARDO BRANDANI; FERNANDEZ, DICESAR L.; DE ANDRADE NEVES, MARCUS VINICIUS. A spectral theorem for bilinear compact operators in Hilbert spaces. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, v. 15, n. 2, p. 36-pg., 2021-04-01. (18/19764-4)

DA SILVA, EDUARDO BRANDANI; FERNANDEZ, DICESAR L.; DE ANDRADE NEVES, MARCUS VINICIUS. A spectral theorem for bilinear compact operators in Hilbert spaces. Banach Journal of Mathematical Analysis, v. 15, n. 2, APR 2021. (18/19764-4)