Mapping and continuity properties of the boundary spectrum in Banach algebras
Mouton, S.
Illinois J. Math., Tome 53 (2009) no. 1, p. 757-767 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We present further properties of the boundary spectrum S∂(a)={λ : λ−a∈∂S} of a, where ∂S denotes the topological boundary of the set S of all noninvertible elements of a Banach algebra A, and where a is an element of A. In particular, we investigate the conditions under which it is true that S∂(f(a))=f(S∂(a)), where f is a complex valued function which is analytic on a neighbourhood of the spectrum of a. We also consider continuity properties of the boundary spectrum.
Publié le : 2009-05-15
Classification:  46H05,  46H30 
@article{1286212914,
     author = {Mouton, S.},
     title = {Mapping and continuity properties of the boundary spectrum in Banach algebras},
     journal = {Illinois J. Math.},
     volume = {53},
     number = {1},
     year = {2009},
     pages = { 757-767},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1286212914}
}

Mouton, S. Mapping and continuity properties of the boundary spectrum in Banach algebras. Illinois J. Math., Tome 53 (2009) no. 1, pp.  757-767. http://gdmltest.u-ga.fr/item/1286212914/