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

Voir la notice de l'article provenant de 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.
DOI : 10.4064/sm-131-3-271-287
Keywords: inessential operator, improjective operator, Fredholm theory

Pietro Aiena 1 ;  1

1 
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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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