r-FREDHOLM THEORY IN BANACH ALGEBRAS
Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 615-627
Voir la notice de l'article provenant de la source Cambridge
Harte (1982, Math. Z.179, 431–436) initiated the study of Fredholm theory relative to a unital homomorphism T: A → B between unital Banach algebras A and B based on the following notions: an element a ∈ A is called Fredholm if 0 is not in the spectrum of Ta, while a is Weyl (Browder) if there exist (commuting) elements b and c in A with a = b + c such that 0 is not in the spectrum of b and c is in the null space of T. We introduce and investigate the concepts of r-Fredholm, r-Weyl and r-Browder elements, where 0 in these definitions is replaced by the spectral radii of a and b, respectively.
BENJAMIN, RONALDA; LAUSTSEN, NIELS JAKOB; MOUTON, SONJA. r-FREDHOLM THEORY IN BANACH ALGEBRAS. Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 615-627. doi: 10.1017/S0017089518000393
@article{10_1017_S0017089518000393,
author = {BENJAMIN, RONALDA and LAUSTSEN, NIELS JAKOB and MOUTON, SONJA},
title = {r-FREDHOLM {THEORY} {IN} {BANACH} {ALGEBRAS}},
journal = {Glasgow mathematical journal},
pages = {615--627},
year = {2019},
volume = {61},
number = {3},
doi = {10.1017/S0017089518000393},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000393/}
}
TY - JOUR AU - BENJAMIN, RONALDA AU - LAUSTSEN, NIELS JAKOB AU - MOUTON, SONJA TI - r-FREDHOLM THEORY IN BANACH ALGEBRAS JO - Glasgow mathematical journal PY - 2019 SP - 615 EP - 627 VL - 61 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000393/ DO - 10.1017/S0017089518000393 ID - 10_1017_S0017089518000393 ER -
%0 Journal Article %A BENJAMIN, RONALDA %A LAUSTSEN, NIELS JAKOB %A MOUTON, SONJA %T r-FREDHOLM THEORY IN BANACH ALGEBRAS %J Glasgow mathematical journal %D 2019 %P 615-627 %V 61 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000393/ %R 10.1017/S0017089518000393 %F 10_1017_S0017089518000393
Cité par Sources :