An example of a Fréchet algebra which is a principal ideal domain

Graciela Carboni; Angel Larotonda

Studia Mathematica (2000)

  • Volume: 138, Issue: 3, page 265-275
  • ISSN: 0039-3223

Abstract

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We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.

How to cite

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Carboni, Graciela, and Larotonda, Angel. "An example of a Fréchet algebra which is a principal ideal domain." Studia Mathematica 138.3 (2000): 265-275. <http://eudml.org/doc/216704>.

@article{Carboni2000,
abstract = {We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.},
author = {Carboni, Graciela, Larotonda, Angel},
journal = {Studia Mathematica},
keywords = {Fréchet algebra; principal ideal domain; quasi-analytic class; Fréchet -convex algebra; maximal ideal space},
language = {eng},
number = {3},
pages = {265-275},
title = {An example of a Fréchet algebra which is a principal ideal domain},
url = {http://eudml.org/doc/216704},
volume = {138},
year = {2000},
}

TY - JOUR
AU - Carboni, Graciela
AU - Larotonda, Angel
TI - An example of a Fréchet algebra which is a principal ideal domain
JO - Studia Mathematica
PY - 2000
VL - 138
IS - 3
SP - 265
EP - 275
AB - We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.
LA - eng
KW - Fréchet algebra; principal ideal domain; quasi-analytic class; Fréchet -convex algebra; maximal ideal space
UR - http://eudml.org/doc/216704
ER -

References

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  9. [9] W. Roberts and D. Vanberg, Convex Functions, Academic Press, New York, 1973. 
  10. [10] W. Rudin, Real and Complex Analysis, McGraw-Hill, 1964. 
  11. [11] A. Sinclair and A. Tullo, Noetherian Banach algebras are finite dimensional, Math. Ann. 211 (1974), 151-153. Zbl0275.46037
  12. [12] G. Tomassini, On some finiteness properties of topological algebras, Symposia Math. 11 (1973), 305-311. 
  13. [13] W. Żelazko, A theorem on B 0 division algebras, Bull. Acad. Polon. Sci. 8 (1960), 373-375. Zbl0095.31303
  14. [14] A. Zygmund, Trigonometric Series, Cambridge Univ. Press, 1977. Zbl0367.42001

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