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Quaestiones Mathematicae

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Polynomially Riesz elements

S.Ć. Živković-Zlatanović, R.E. Harte

Abstract


A Banach algebra element ɑ 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 Tp(ɑ) ∈ B is quasinilpotent.

Keywords: Homomorphism of Banach algebras, polynomially Riesz element, Fredholm spectrum, Browder element, Browder spectrum.

 




http://dx.doi.org/10.2989/16073606.2015.1026558
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