Operational quantities derived from the norm and generalized Fredholm theory.

González, Manuel, and Martinón, Antonio. "Operational quantities derived from the norm and generalized Fredholm theory.." Extracta Mathematicae 6.2-3 (1991): 132-134. <http://eudml.org/doc/39934>.

@article{González1991,
abstract = {Several operational quantities, defined in terms of the norm and the class of finite dimensional Banach spaces, have been used to characterize the classes of upper and lower semi-Fredholm operators, strictly singular and strictly cosingular operators, and to derive some perturbation results.In this paper we shall introduce and study some operational quantities derived from the norm and associated to a space ideal. By means of these quantities we construct a generalized Fredholm theory in which the space ideal plays the role of the finite dimensional spaces, and we extend to this situation many of the results of the classical Fredholm theory.},
author = {González, Manuel, Martinón, Antonio},
journal = {Extracta Mathematicae},
keywords = {Operadores de Fredholm; Operadores singulares; Teoría de perturbación; Espacios de Banach; operational quantity; Fredholm theory; lower semi-Fredholm operator; upper semi-Fredholm operator},
language = {eng},
number = {2-3},
pages = {132-134},
title = {Operational quantities derived from the norm and generalized Fredholm theory.},
url = {http://eudml.org/doc/39934},
volume = {6},
year = {1991},
}

TY - JOUR
AU - González, Manuel
AU - Martinón, Antonio
TI - Operational quantities derived from the norm and generalized Fredholm theory.
JO - Extracta Mathematicae
PY - 1991
VL - 6
IS - 2-3
SP - 132
EP - 134
AB - Several operational quantities, defined in terms of the norm and the class of finite dimensional Banach spaces, have been used to characterize the classes of upper and lower semi-Fredholm operators, strictly singular and strictly cosingular operators, and to derive some perturbation results.In this paper we shall introduce and study some operational quantities derived from the norm and associated to a space ideal. By means of these quantities we construct a generalized Fredholm theory in which the space ideal plays the role of the finite dimensional spaces, and we extend to this situation many of the results of the classical Fredholm theory.
LA - eng
KW - Operadores de Fredholm; Operadores singulares; Teoría de perturbación; Espacios de Banach; operational quantity; Fredholm theory; lower semi-Fredholm operator; upper semi-Fredholm operator
UR - http://eudml.org/doc/39934
ER -