Warianty tytułu
Abstrakty
In this memoir, we shall consider weighted convolution algebras on discrete groups and semigroups, concentrating on the group (ℚ,+) of rational numbers, the semigroup $(ℚ^{+•},+)$ of strictly positive rational numbers, and analogous semigroups in the real line ℝ. In particular, we shall discuss when these algebras are Arens regular, when they are strongly Arens irregular, and when they are neither, giving a variety of examples. We introduce the notion of 'weakly diagonally bounded' weights, weakening the known concept of 'diagonally bounded' weights, and thus obtaining more examples. We shall also construct an example of a weighted convolution algebra on ℕ that is neither Arens regular nor strongly Arens irregular, and an example of a weight ω on $ℚ^{+•}$ such that $lim inf_{s→ 0+}ω(s) =0$.
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne
tom/nr w serii:
459
Liczba stron
60
Liczba rozdzia³ów
Opis fizyczny
Daty
wydano
2009
Twórcy
autor
- Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, UK
autor
- Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388 120, Gujarat, India
Bibliografia
Języki publikacji
EN |
Uwagi
Identyfikator YADDA
bwmeta1.element.bwnjournal-rm-doi-10_4064-dm459-0-1
Identyfikatory
DOI
10.4064/dm459-0-1
Kolekcja
DML-PL
