Harte, Robin On the punctured neighbourhood theorem. (English) Zbl 0810.46041 Math. Z. 207, No. 3, 391-394 (1991). This note contains some interesting results related to the so-called Punctured Neighbourhood Theorem of B. Aupetit [Bull. Lond. Math. Soc. 18, 493–497 (1986; Zbl 0574.47015)]. Reviewer: Khristo N.Boyadzhiev (Ada) Cited in 1 Document MSC: 46H05 General theory of topological algebras Keywords:\(a\)-inessential elements; inessential ideals; punctured neighbourhood theorem Citations:Zbl 0574.47015 PDFBibTeX XMLCite \textit{R. Harte}, Math. Z. 207, No. 3, 391--394 (1991; Zbl 0810.46041) Full Text: DOI EuDML References: [1] Aupetit, B.: Inessential elements in Banach algebras. Bull. Lond. Math. Soc.18, 493–497 (1986) · Zbl 0593.47010 · doi:10.1112/blms/18.5.493 [2] Aupetit, B., Zemanek, J.: On the zeroes of analytic multivalued functions. Acta Sci. Math.46, 18–60 (1983) · Zbl 0518.46035 [3] Groenewald, L., Harte R.E., Raubenheimer, H.: Perturbation by Riesz and inessential elements. Quast. Math.12, 439–446 (1989) · Zbl 0705.46022 · doi:10.1080/16073606.1989.9632195 [4] Harte, R.E.: The exponential spectrum in Banach algebras. Proc. Am. Meth. Soc.58, 114–118 (1976) · Zbl 0338.46043 · doi:10.1090/S0002-9939-1976-0407603-5 [5] Harte, R.E.: Fredholm theory with respect to a Banach algebra homomorphism. Math. Z.179, 431–436 (1982) · Zbl 0487.47031 · doi:10.1007/BF01215344 [6] Harte, R.E.: Invertibility and singularity. New York: Dekker 1988 · Zbl 0636.47001 [7] Harte, R.E., Wickstead, A.W.: Boundaries, hulls and spectral mapping theorems. Proc. R. Ir. Acad.81A, 201–208 (1981) · Zbl 0489.46041 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.