Polynomially Riesz elements

Original Articles

Polynomially Riesz elements

Published in: Quaestiones Mathematicae
Volume 38 , issue 4 , 2015 , pages: 573–586
DOI: 10.2989/16073606.2015.1026558
Author(s): Snežana Č. Živković-Zlatanović University of Niš, , Robin E. Harte Trinity College, Ireland
Keywords: 46H05 , 46H05
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Abstract

A Banach algebra element a ∈ A is said to be “polynomially Riesz”, relative to the homomorphism T : A → B, if there exists a nonzero complex polynomial p(z) such that the image T p(a) ∈ B is quasinilpotent.
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