Theoretical analysis characterizes non-unital semigroups of Volterra-type operators on Fock spaces, extending classical semigroup framework to broader operator families.
The family of Volterra-type integral operators on Fock spaces do not contain the identity operator and thus fail to form a standard one-parameter semigroup of operators. By generalizing the classical definition, we introduce the notion of non-unital semigroups and characterize exactly which operators on these spaces generate such families. Additionally, we compute their infinitesimal generators
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Tesfa Mengestie (2026) studied this question.
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