On inessential and improjective operators.
Studia Mathematica, Tome 131 (1998) no. 3, pp. 271-287
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We give several characterizations of the improjective operators, introduced by Tarafdar, and we characterize the inessential operators among the improjective operators. It is an interesting problem whether both classes of operators coincide in general. A positive answer would provide, for example, an intrinsic characterization of the inessential operators. We give several equivalent formulations of this problem and we show that the inessential operators acting between certain pairs of Banach spaces coincide with the improjective operators.
Keywords:
inessential operator, improjective operator, Fredholm theory
Affiliations des auteurs :
Pietro Aiena 1 ;  1
@article{10_4064_sm_131_3_271_287,
author = {Pietro Aiena and },
title = {On inessential and improjective operators.},
journal = {Studia Mathematica},
pages = {271--287},
year = {1998},
volume = {131},
number = {3},
doi = {10.4064/sm-131-3-271-287},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-131-3-271-287/}
}
Pietro Aiena; . On inessential and improjective operators.. Studia Mathematica, Tome 131 (1998) no. 3, pp. 271-287. doi: 10.4064/sm-131-3-271-287
Cité par Sources :