Applications bi-semi-linéaires et commutativité dans les algèbres de Banach involutives

A. El Kinani; M. Oudadess

Annales mathématiques Blaise Pascal (1999)

  • Volume: 6, Issue: 2, page 15-20
  • ISSN: 1259-1734

How to cite

top

El Kinani, A., and Oudadess, M.. "Applications bi-semi-linéaires et commutativité dans les algèbres de Banach involutives." Annales mathématiques Blaise Pascal 6.2 (1999): 15-20. <http://eudml.org/doc/79209>.

@article{ElKinani1999,
author = {El Kinani, A., Oudadess, M.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {commutativity of Banach algebras; continuous bi-similinear maps; Hahn-Banach theorem; Liouville's theorem for harmonic functions; semilinear endomorphism; generalized involution},
language = {fre},
number = {2},
pages = {15-20},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Applications bi-semi-linéaires et commutativité dans les algèbres de Banach involutives},
url = {http://eudml.org/doc/79209},
volume = {6},
year = {1999},
}

TY - JOUR
AU - El Kinani, A.
AU - Oudadess, M.
TI - Applications bi-semi-linéaires et commutativité dans les algèbres de Banach involutives
JO - Annales mathématiques Blaise Pascal
PY - 1999
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 6
IS - 2
SP - 15
EP - 20
LA - fre
KW - commutativity of Banach algebras; continuous bi-similinear maps; Hahn-Banach theorem; Liouville's theorem for harmonic functions; semilinear endomorphism; generalized involution
UR - http://eudml.org/doc/79209
ER -

References

top
  1. [1] F.F. Bonsall and J. Duncan: Numerical ranges of operators on normed spaces and of elements of normed algebras. London Math. Soc. Lecture Note Series, N°2 (1971). Zbl0207.44802MR288583
  2. [2] J.W. Baker and J.S. Pym: Remark on continuous bilinear mappings. Proc. Edinburgh. Math. Soc. (2) 17, (1970-1971), 245-248. Zbl0217.44801MR303291
  3. [3] A. El Kinaniand M. Oudadess: Bilinear mappings and commutativity in Banach algebras, Tübinger Berichte Zur Functionalanalysis6 (1996/97) 54-58. 
  4. [4] A. El Kinaniand M. Oudadess: Un Critère généralisé de Le Page et commutativité. C. R. Math. Rep. Acad. Sci. Canada. V. XVIII, N. 2, 3, April-June 1996 avril-juin. Zbl0871.46023MR1411280
  5. [5] R.A. Hirschfeld and W. Zelazko: On spectral norm Banach algebras. Bull. Acad. Polonaise. Sc. Math. Astr. Phys. Vol XVI, n° 3, (1968), 195-199. Zbl0159.18403MR229043
  6. [6] C. Le Page: Sur quelques conditions impliquant la commutativité dans les algèbres de Banach. C. R. A. S. Paris, Ser. A-B; 265, (1967), A 235-A 237. Zbl0158.14102MR226409
  7. [7] Gh. Mocanu: A remark on a commutativity criterion in Banach algebras. Stud. Cerc. Mat.21, (1969), 947-952. Zbl0203.13003MR279589
  8. [8] G. Niestegge: A note on criteria of Le Page and Hirschfeld-Zelazko for the commutativity of Banach algebras. Studia. Math. T.LXXIX, (1984), 87-90. Zbl0507.46040MR772009
  9. [9] M. Oudadess: Commutativité de certaines algèbres de Banach. Bol. Soc. Math. Mexicana, Vol. 28 , n°1, (1983), 9-14. Zbl0583.46048MR764645

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.