Stable inverse-limit sequences and automatic continuity

Graham Allan

Studia Mathematica (2000)

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

Abstract

top
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.

How to cite

top

Allan, 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. [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. [2] G. R. Allan, Stable inverse-limit sequences, with application to Fréchet algebras, Studia Math. 121 (1996), 277-308. Zbl0874.46048
  3. [3] G. R. Allan, Stable elements of Banach and Fréchet algebras, ibid. 129 (1998), 67-96. Zbl0909.46045
  4. [4] G. R. Allan, Inverse-limit sequences in functional analysis, to appear. 
  5. [5] J. Esterle, Semi-normes sur C(K), Proc. London Math. Soc. (3) 36 (1978), 27-45. 
  6. [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. [7] A. M. Sinclair, Automatic Continuity of Linear Operators, London Math. Soc. Lecture Note Ser. 21, Cambridge Univ. Press, Cambridge, 1976. Zbl0313.47029

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.