Concerning entire functions in B 0 -algebras

W. Żelazko

Studia Mathematica (1994)

  • Volume: 110, Issue: 3, page 283-290
  • ISSN: 0039-3223

Abstract

top
We construct a non-m-convex non-commutative B 0 -algebra on which all entire functions operate. Our example is also a Q-algebra and a radical algebra. It follows that some results true in the commutative case fail in general.

How to cite

top

Żelazko, W.. "Concerning entire functions in $B_{0}$-algebras." Studia Mathematica 110.3 (1994): 283-290. <http://eudml.org/doc/216115>.

@article{Żelazko1994,
abstract = {We construct a non-m-convex non-commutative $B_0$-algebra on which all entire functions operate. Our example is also a Q-algebra and a radical algebra. It follows that some results true in the commutative case fail in general.},
author = {Żelazko, W.},
journal = {Studia Mathematica},
keywords = {non--convex non-commutative -algebra on which all entire functions operate; -algebra; radical algebra},
language = {eng},
number = {3},
pages = {283-290},
title = {Concerning entire functions in $B_\{0\}$-algebras},
url = {http://eudml.org/doc/216115},
volume = {110},
year = {1994},
}

TY - JOUR
AU - Żelazko, W.
TI - Concerning entire functions in $B_{0}$-algebras
JO - Studia Mathematica
PY - 1994
VL - 110
IS - 3
SP - 283
EP - 290
AB - We construct a non-m-convex non-commutative $B_0$-algebra on which all entire functions operate. Our example is also a Q-algebra and a radical algebra. It follows that some results true in the commutative case fail in general.
LA - eng
KW - non--convex non-commutative -algebra on which all entire functions operate; -algebra; radical algebra
UR - http://eudml.org/doc/216115
ER -

References

top
  1. [1] E. A. Michael, Locally multiplicatively-convex topological algebras, Mem. Amer. Math. Soc. 11 (1952). Zbl0047.35502
  2. [2] B. S. Mityagin, S. Rolewicz and W. Żelazko, Entire functions in B 0 -algebras, Studia Math. 21 (1962), 291-306. Zbl0111.31001
  3. [3] P. Turpin, Une remarque sur les algèbres à inverse continu, C. R. Acad. Sci. Paris 270 (1979), 1686-1689. Zbl0195.13804
  4. [4] L. Waelbroeck, Topological Vector Spaces and Algebras, Lecture Notes in Math. 230, Springer, 1971. 
  5. [5] W. Żelazko, Metric generalizations of Banach algebras, Rozprawy Mat. (Dissertationes Math.) 47 (1965). Zbl0131.13005
  6. [6] W. Żelazko, Selected Topics in Topological Algebras, Aarhus University Lecture Notes Ser. 31, 1971. Zbl0221.46041
  7. [7] W. Żelazko, A non-m-convex algebra on which operate all entire functions, Ann. Polon. Math. 46 (1985), 389-394. Zbl0608.46029
  8. [8] W. Żelazko, On certain open problems in topological algebras, Rend. Sem. Mat. Fis. Milano 59 (1989) (1992), 49-58. Zbl0755.46019

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.