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Ruston,Riesz and perturbation classes
Authors:SČ Živković-Zlatanović  DS Djordjević  R Harte
Institution:1. University of Ni?, Faculty of Sciences and Mathematics, P.O. Box 224, 18000 Nis?, Serbia;2. Trinity College, Dublin, Ireland
Abstract:We determine the perturbation classes of Fredholm and Weyl elements, as well the “commuting perturbation classes” of Fredholm, Weyl and Browder elements with respect to unbounded Banach algebra homomorphism T. Among other things we use the Ruston elements of Mouton, Mouton and Raubenheimer. Also, we investigate the class of polynomially almost T null and the class of polynomially T Riesz elements.
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