Counterexamples to the Gleason problem

Ulf Backlund; Anders Fällström

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1998)

  • Volume: 26, Issue: 3, page 595-603
  • ISSN: 0391-173X

How to cite

top

Backlund, Ulf, and Fällström, Anders. "Counterexamples to the Gleason problem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 26.3 (1998): 595-603. <http://eudml.org/doc/84339>.

@article{Backlund1998,
author = {Backlund, Ulf, Fällström, Anders},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {-Gleason property; domain of holomorphy; pseudoconvex domain},
language = {eng},
number = {3},
pages = {595-603},
publisher = {Scuola normale superiore},
title = {Counterexamples to the Gleason problem},
url = {http://eudml.org/doc/84339},
volume = {26},
year = {1998},
}

TY - JOUR
AU - Backlund, Ulf
AU - Fällström, Anders
TI - Counterexamples to the Gleason problem
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1998
PB - Scuola normale superiore
VL - 26
IS - 3
SP - 595
EP - 603
LA - eng
KW - -Gleason property; domain of holomorphy; pseudoconvex domain
UR - http://eudml.org/doc/84339
ER -

References

top
  1. [BF] U. Backlund - A. Fällström, The Gleasonpropertyfor Reinhardt domains, Math.Ann.308 (1997), 85-91. Zbl0869.32001MR1446201
  2. [Bea] F. Beatrous JR, Hölder estimates for the ∂-equation with a support condition, Pacific J. Math. 90 (1980), 249-257. Zbl0453.32006
  3. [Cat] D. Catlin, Global regularity of the ∂-Neumann problem, In: "Complex Analysis of Several Variables", Proc. Symp. Pure Math. 41, American Mathematical Society, RI, Providence1984, pp. 39-49. Zbl0578.32031
  4. [FZ] J.E. Fornaess - B. Zame., Runge exhaustions of domains in C n, Math. Z.194 (1987), 1-5. Zbl0618.32013MR871214
  5. [FØ] J.E. Fornaess - N. Øvrelid, Finitely generated ideals in A (Ω), Ann. Inst. Fourier (Grenoble) 33 (1983), 77-85. Zbl0489.32013
  6. [Gle] A.M. Gleason, Finitely generated ideals in Banach algebras, J. Math. Mech.13 (1964), 125-132. Zbl0117.34105MR159241
  7. [Hen] G.M. Henkin, Approksimatsiya Funktsij v Psevdovypuklych oblastyach i teorema Z. L. Leibenzona, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astron. Phys.19 (1971), 37-42. (Russian). Zbl0214.33701MR287027
  8. [KN] N. Kerzman - A. Nagel, Finitely generated ideals in certain function algebras, J. Funct. Anal.7 (1971), 212-215. Zbl0211.43902MR275172
  9. [Lie] I. Lieb, Die Cauchy-Riemannschen Differentialgleichung auf streng pseudokonveksen Gebieten: Stetige Randwerte, Math.Ann.199 (1972), 241-256. Zbl0231.35055MR328126
  10. [Noe] A. Noell, The Gleason problem for domains offinite type, Complex Variables4 (1985), 233-241. Zbl0535.32009MR801640
  11. [Si1] N. Sibony, Prolongement analytique des fonction holomorphes bornés, C. R. Acad. Sci. Paris Sér. I Math.275 (1972), 973-976. Zbl0246.32015MR318515
  12. [Si2] N. Sibony, Prolongement des fonctions holomorphes bornés et métrique de Caratheodory, Invent. Math.29 (1975), 205-230. Zbl0333.32011MR385164
  13. [Si3] N. Sibony, Approximation polynomiale pondérée dans un domaine d'holomorphie de C n, Ann. Inst. Fourier (Grenoble) 26 (1976) 71-99. Zbl0318.32013MR430312
  14. [Øvr] N. Øvrelid, Generators of the maximal ideals of A(D), Pacific J.Math.39 (1971), 219-233. Zbl0231.46090MR310292

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.