RT Journal Article
T1 Nonlinear absolutely summing operators revisited
A1 Bernardino, Adriano Thiago
A1 Pellegrino, Daniel
A1 Seoane-Sepúlveda, Juan B.
A1 Souza, Marcela L.V.
AB In the last decades many authors have become interested in the study of multilinear and polynomial generalizations of families of operator ideals (such as, for instance, the ideal of absolutely summing operators). However, these generalizations must keep the essence of the given operator ideal and there seems not to be a universal method to achieve this. The main task of this paper is to discuss, study, and introduce multilinear and polynomial extensions of the aforementioned operator ideals taking into account the already existing methods of evaluating the adequacy of such generalizations. Besides this subject's intrinsic mathematical interest, the main motivation is our belief (based on facts that shall be presented) that some of the already existing approaches are not adequate.
PB Springer
SN 1678-7544
YR 2015
FD 2015-06
LK https://hdl.handle.net/20.500.14352/24383
UL https://hdl.handle.net/20.500.14352/24383
LA eng
NO CNPq (PVE-Linha 2)
NO National Institute of Science and Technology of Mathematics INCT-Mat
DS Docta Complutense
RD 28 abr 2024