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We characterize the bounded linear operators T satisfying generalized a-Browder's theorem, or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H₀(λI - T) as λ belongs to certain sets of ℂ. In the last part we give a general framework in which generalized a-Weyl's theorem follows for several classes of operators.
Pietro Aiena, and T. Len Miller. "On generalized a-Browder's theorem." Studia Mathematica 180.3 (2007): 285-300. <http://eudml.org/doc/286148>.
@article{PietroAiena2007, abstract = {We characterize the bounded linear operators T satisfying generalized a-Browder's theorem, or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H₀(λI - T) as λ belongs to certain sets of ℂ. In the last part we give a general framework in which generalized a-Weyl's theorem follows for several classes of operators.}, author = {Pietro Aiena, T. Len Miller}, journal = {Studia Mathematica}, keywords = {single-valued extension property (SVEP); Fredholm theory; generalised Weyl theorem; generalised Browder theorem}, language = {eng}, number = {3}, pages = {285-300}, title = {On generalized a-Browder's theorem}, url = {http://eudml.org/doc/286148}, volume = {180}, year = {2007}, }
TY - JOUR AU - Pietro Aiena AU - T. Len Miller TI - On generalized a-Browder's theorem JO - Studia Mathematica PY - 2007 VL - 180 IS - 3 SP - 285 EP - 300 AB - We characterize the bounded linear operators T satisfying generalized a-Browder's theorem, or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H₀(λI - T) as λ belongs to certain sets of ℂ. In the last part we give a general framework in which generalized a-Weyl's theorem follows for several classes of operators. LA - eng KW - single-valued extension property (SVEP); Fredholm theory; generalised Weyl theorem; generalised Browder theorem UR - http://eudml.org/doc/286148 ER -