On inessential and improjective operators.
Studia Mathematica, Tome 131 (1998) no. 3, pp. 271-287
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
@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
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