Amenability and weak amenability of l¹-algebras of polynomial hypergroups

Rupert Lasser

Studia Mathematica (2007)

  • Volume: 182, Issue: 2, page 183-196
  • ISSN: 0039-3223

Abstract

top
We investigate amenability and weak amenability of the l¹-algebra of polynomial hypergroups. We derive conditions for (weak) amenability adapted to polynomial hypergroups and show that these conditions are often not satisfied. However, we prove amenability for the hypergroup induced by the Chebyshev polynomials of the first kind.

How to cite

top

Rupert Lasser. "Amenability and weak amenability of l¹-algebras of polynomial hypergroups." Studia Mathematica 182.2 (2007): 183-196. <http://eudml.org/doc/284415>.

@article{RupertLasser2007,
abstract = {We investigate amenability and weak amenability of the l¹-algebra of polynomial hypergroups. We derive conditions for (weak) amenability adapted to polynomial hypergroups and show that these conditions are often not satisfied. However, we prove amenability for the hypergroup induced by the Chebyshev polynomials of the first kind.},
author = {Rupert Lasser},
journal = {Studia Mathematica},
keywords = {polynomial hypergroups; amenability},
language = {eng},
number = {2},
pages = {183-196},
title = {Amenability and weak amenability of l¹-algebras of polynomial hypergroups},
url = {http://eudml.org/doc/284415},
volume = {182},
year = {2007},
}

TY - JOUR
AU - Rupert Lasser
TI - Amenability and weak amenability of l¹-algebras of polynomial hypergroups
JO - Studia Mathematica
PY - 2007
VL - 182
IS - 2
SP - 183
EP - 196
AB - We investigate amenability and weak amenability of the l¹-algebra of polynomial hypergroups. We derive conditions for (weak) amenability adapted to polynomial hypergroups and show that these conditions are often not satisfied. However, we prove amenability for the hypergroup induced by the Chebyshev polynomials of the first kind.
LA - eng
KW - polynomial hypergroups; amenability
UR - http://eudml.org/doc/284415
ER -

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.