# Stable inverse-limit sequences and automatic continuity

Studia Mathematica (2000)

- Volume: 141, Issue: 2, page 99-107
- ISSN: 0039-3223

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topAllan, Graham. "Stable inverse-limit sequences and automatic continuity." Studia Mathematica 141.2 (2000): 99-107. <http://eudml.org/doc/216778>.

@article{Allan2000,

abstract = {The elementary theory of stable inverse-limit sequences, introduced in stable inverse-limit sequences, is used to extend the 'stability lemma' of automatic continuity theory.},

author = {Allan, Graham},

journal = {Studia Mathematica},

language = {eng},

number = {2},

pages = {99-107},

title = {Stable inverse-limit sequences and automatic continuity},

url = {http://eudml.org/doc/216778},

volume = {141},

year = {2000},

}

TY - JOUR

AU - Allan, Graham

TI - Stable inverse-limit sequences and automatic continuity

JO - Studia Mathematica

PY - 2000

VL - 141

IS - 2

SP - 99

EP - 107

AB - The elementary theory of stable inverse-limit sequences, introduced in stable inverse-limit sequences, is used to extend the 'stability lemma' of automatic continuity theory.

LA - eng

UR - http://eudml.org/doc/216778

ER -

## References

top- [1] G. R. Allan, Elements of finite closed descent in a Banach algebra, J. London Math. Soc. (2) 7 (1973), 462-466. Zbl0274.46040
- [2] G. R. Allan, Stable inverse-limit sequences, with application to Fréchet algebras, Studia Math. 121 (1996), 277-308. Zbl0874.46048
- [3] G. R. Allan, Stable elements of Banach and Fréchet algebras, ibid. 129 (1998), 67-96. Zbl0909.46045
- [4] G. R. Allan, Inverse-limit sequences in functional analysis, to appear.
- [5] J. Esterle, Semi-normes sur C(K), Proc. London Math. Soc. (3) 36 (1978), 27-45.
- [6] J. Esterle, Mittag-Leffler methods in the theory of Banach algebras and a new approach to Michael's problem, in: Contemp. Math 32, Amer. Math. Soc., 1984, 107-129. Zbl0569.46031
- [7] A. M. Sinclair, Automatic Continuity of Linear Operators, London Math. Soc. Lecture Note Ser. 21, Cambridge Univ. Press, Cambridge, 1976. Zbl0313.47029

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