Point derivations on the L¹-algebra of polynomial hypergroups
Colloquium Mathematicae (2009)
- Volume: 116, Issue: 1, page 15-30
- ISSN: 0010-1354
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topRupert Lasser. "Point derivations on the L¹-algebra of polynomial hypergroups." Colloquium Mathematicae 116.1 (2009): 15-30. <http://eudml.org/doc/283507>.
@article{RupertLasser2009,
abstract = {We investigate whether the L¹-algebra of polynomial hypergroups has non-zero bounded point derivations. We show that the existence of such point derivations heavily depends on growth properties of the Haar weights. Many examples are studied in detail. We can thus demonstrate that the L¹-algebras of hypergroups have properties (connected with amenability) that are very different from those of groups.},
author = {Rupert Lasser},
journal = {Colloquium Mathematicae},
keywords = {orthogonal polynomials; hypergroups; point derivations; amenability},
language = {eng},
number = {1},
pages = {15-30},
title = {Point derivations on the L¹-algebra of polynomial hypergroups},
url = {http://eudml.org/doc/283507},
volume = {116},
year = {2009},
}
TY - JOUR
AU - Rupert Lasser
TI - Point derivations on the L¹-algebra of polynomial hypergroups
JO - Colloquium Mathematicae
PY - 2009
VL - 116
IS - 1
SP - 15
EP - 30
AB - We investigate whether the L¹-algebra of polynomial hypergroups has non-zero bounded point derivations. We show that the existence of such point derivations heavily depends on growth properties of the Haar weights. Many examples are studied in detail. We can thus demonstrate that the L¹-algebras of hypergroups have properties (connected with amenability) that are very different from those of groups.
LA - eng
KW - orthogonal polynomials; hypergroups; point derivations; amenability
UR - http://eudml.org/doc/283507
ER -
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