QUASI s-NUMBERS AND MEASURES OF NON-COMPACTNESS OF MULTILINEAR OPERATORS

Autor(es)

Fernandez, Dicesar L. ^[1] ; Mastylo, Mieczyslaw ^{[2, 3]} ; da Silva, Eduardo B. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas Unicamp, Inst Matemat, BR-13083859 Sao Paulo - Brazil

^[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan - Poland

^[3] Polish Acad Sci, Inst Math, Poznan Branch, PL-61614 Poznan - Poland

^[4] Univ Estadual Maringa, Dept Matemat, BR-87030011 Maringa, Parana - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA; v. 38, n. 2, p. 805-823, 2013.
• Citações Web of Science: 2

Resumo

The main goal of this paper is the study of quasi s-numbers of multilinear operators among Banach spaces. The relationships among multilinear variants of approximation, Kolmogorov and Gelfand numbers of operators and their generalized linear adjoint are shown. In the multilinear case, analogous theorems which are well-known in the linear case, are stated and proved. The estimates of measures of non-compactness of multilinear operators in terms of measures of the adjoint operators are also proved. (AU)

• Processo FAPESP: 11/51602-5 - Mieczyslaw Mastylo | Adam Mickiewicz University - Polônia
• Beneficiário: Dicesar Lass Fernandez
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional