Stable inverse-limit sequences and automatic continuity

• Autorzy: Graham R. Allan
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 141
• Numer: 2
• Strony: 99-107

Daty

wydano

2000

otrzymano

1998-06-05

poprawiono

2000-03-10

Twórcy

autor

Graham R. Allan

• Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB, U.K.

Bibliografia

• [1] G. R. Allan, Elements of finite closed descent in a Banach algebra, J. London Math. Soc. (2) 7 (1973), 462-466.
• [2] G. R. Allan, Stable inverse-limit sequences, with application to Fréchet algebras, Studia Math. 121 (1996), 277-308.
• [3] G. R. Allan, Stable elements of Banach and Fréchet algebras, ibid. 129 (1998), 67-96.
• [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.
• [7] A. M. Sinclair, Automatic Continuity of Linear Operators, London Math. Soc. Lecture Note Ser. 21, Cambridge Univ. Press, Cambridge, 1976.