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On the punctured neighbourhood theorem. (English) Zbl 0810.46041

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)].

MSC:

46H05 General theory of topological algebras

Citations:

Zbl 0574.47015
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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
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