Stability of additive functional equation on discrete quantum semigroups
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_SCMA-8-1_006
تاریخ نمایه سازی: 15 اردیبهشت 1397
Abstract:
We construct a non-commutative analog of additive functional equations on discrete quantum semigroups and show that this non-commutative functional equation has Hyers-Ulam stabil- ity on amenable discrete quantum semigroups. The discrete quan- tum semigroups that we consider in this paper, are in the sense of van Daele, and the amenability is in the sense of B edos-Murphy- Tuset. Our main result generalizes a famous and old result due to Forti on the Hyers-Ulam stability of additive functional equations on amenable classical discrete semigroups
Keywords:
Discrete quantum semigroup , Additive functional equa- tion , Hyers-Ulam stability , Noncommutative geometry
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