ON THE EQUIVALENCE OF BROWDER'S AND GENERALIZED BROWDER'S THEOREM
Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 179-185
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In this note we answer two question posed by Berkani and Koliha [Acta Sci. Math.69 (2003), 359–376]. We show that generalized Browder's (resp. generalized $a$-Browder's) theorem holds for a Banach space operator if and only if Browder's (resp. $a$-Browder's) theorem does. We also give condition under which generalized Weyl's (resp. generalized $a$-Weyl's) theorem is equivalent to Weyl's (resp. $a$-Weyl's) theorem.
AMOUCH, M.; ZGUITTI, H. ON THE EQUIVALENCE OF BROWDER'S AND GENERALIZED BROWDER'S THEOREM. Glasgow mathematical journal, Tome 48 (2006) no. 1, pp. 179-185. doi: 10.1017/S0017089505002971
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author = {AMOUCH, M. and ZGUITTI, H.},
title = {ON {THE} {EQUIVALENCE} {OF} {BROWDER'S} {AND} {GENERALIZED} {BROWDER'S} {THEOREM}},
journal = {Glasgow mathematical journal},
pages = {179--185},
year = {2006},
volume = {48},
number = {1},
doi = {10.1017/S0017089505002971},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002971/}
}
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