2026-06-01T01:09:53Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/243832025-04-08T14:28:40Zcom_20.500.14352_14col_20.500.14352_15

Nonlinear absolutely summing operators revisited Bernardino, Adriano Thiago Pellegrino, Daniel Seoane Sepúlveda, Juan Benigno Souza, Marcela L.V. 517.98 absolutely summing operators coherent ideals compatible ideals polynomial ideals Análisis funcional y teoría de operadores 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. CNPq (PVE-Linha 2) National Institute of Science and Technology of Mathematics INCT-Mat Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-18T06:50:46Z 2023-06-18T06:50:46Z 2015-06 journal article https://hdl.handle.net/20.500.14352/24383 1678-7544 http:dx.doi.org/ 10.1007/s00574-015-0091-0 eng 401735/2013-3 restricted access application/pdf application/pdf Springer