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Dergiler / Constructive Mathematical Analysis / 2026 / Volume: 9 Issue: 3

Non-unital semigroup of integral operators on Fock spaces

Tesfa Mengestie(Western Norway University of Applied Sciences)0000-0003-4299-7980
Sayfa
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Yayın Tarihi
2026-09-15
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Additionally, we compute their infinitesimal generators

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:By generalizing the classical definition, we introduce the notion of non-unital semigroups and characterize exactly which operators on these spaces generate such families.
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Sonuç & Katkı:Additionally, we compute their infinitesimal generators
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fock space · Non-unital semigroup · Volterra-type integral

Abstract

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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Bu Makaleye Atıf Yap

Mengestie, T. (2026). Non-unital semigroup of integral operators on Fock spaces. Constructive Mathematical Analysis, Volume: 9 Issue: 3. https://doi.org/10.33205/cma.1895745

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Kaynakça (15)

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