A family of commuting contraction semigroups on l1(N){l}^{1}\left({\mathbb{N}}) and l∞(N){l}^{\infty }\left({\mathbb{N}})

A family of commuting contraction semigroups (Pn(t))n∈N{\left({P}_{n}\left(t))}_{n\in {\mathbb{N}}}, defined on l1(N){l}^{1}\left({\mathbb{N}}), is presented. For this family, the product semigroup ∏n=1∞Pn(t){\prod }_{n=1}^{\infty }{P}_{n}\left(t) exists and has bounded generator. The infinite produ...

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Bibliographic Details
Main Author: Nieznaj Ernest
Format: Article
Language:English
Published: De Gruyter 2025-07-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2025-0168
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