[PDF][PDF] Quasi s-numbers and measures of non-compactness of multilinear operators
DL Fernandez, M Mastylo, EB da Silva - Annales Fennici Mathematici, 2013 - afm.journal.fi
DL Fernandez, M Mastylo, EB da Silva
Annales Fennici Mathematici, 2013•afm.journal.fiThe 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.
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.
Abstract
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.
afm.journal.fi
以上显示的是最相近的搜索结果。 查看全部搜索结果