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Weights on Discrete Semigroups and Topological Groups
0 - Default Title
Description
Consider a strictly positive function ¿ on a semigroup (S, ¿) satisfying the following simple inequality (so-called, submultiplicativity): (s ¿ t) ¿ ¿(s)¿(t) (s, t ¿ S).
Such function ¿ is called a weight on S. The pair (S, ¿), so-called a semigroup with weight, plays a very important roll in constructing a class of Banach algebras; namely the weighted discrete semigroup algebra ¿1(S, ¿). The Banach algebra structure of the algebra ¿1(S, ¿) is influenced by these two simple objects S and ¿. So it is important to develop methods of constructing weights on semigroups. There are various types of weights scattered in the mathematics literature. Here we attempt to develop some methods to construct weights on discrete semigroups. Then we also develop methods to construct weights on topological groups.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
68
Release Date:
2025-10-18
Publication Date:
2025-10-18
Publisher:
GRIN Verlag
Languages:
Original:
English
ISBN10:
3389161643
ISBN13:
9783389161647
GPSR Manufacturer Reference:
Weight:
112 g
Height:
148 cm
Width:
210 cm
Thickness:
6 cm
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