Non-unital semigroup of integral operators on Fock spaces
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
Keywords
References
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Details
Primary Language
English
Subjects
Operator Algebras and Functional Analysis
Journal Section
Research Article
Authors
Early Pub Date
August 13, 2026
Publication Date
-
Submission Date
February 23, 2026
Acceptance Date
August 5, 2026
Published in Issue
Year 2026 Number: Advanced Online Publication
APA
Mengestie, T. (2026). Non-unital semigroup of integral operators on Fock spaces. Constructive Mathematical Analysis, Advanced Online Publication. https://doi.org/10.33205/cma.1895745
AMA
1.Mengestie T. Non-unital semigroup of integral operators on Fock spaces. CMA. 2026;(Advanced Online Publication). doi:10.33205/cma.1895745
Chicago
Mengestie, Tesfa. 2026. “Non-Unital Semigroup of Integral Operators on Fock Spaces”. Constructive Mathematical Analysis, no. Advanced Online Publication. https://doi.org/10.33205/cma.1895745.
EndNote
Mengestie T (August 1, 2026) Non-unital semigroup of integral operators on Fock spaces. Constructive Mathematical Analysis Advanced Online Publication
IEEE
[1]T. Mengestie, “Non-unital semigroup of integral operators on Fock spaces”, CMA, no. Advanced Online Publication, Aug. 2026, doi: 10.33205/cma.1895745.
ISNAD
Mengestie, Tesfa. “Non-Unital Semigroup of Integral Operators on Fock Spaces”. Constructive Mathematical Analysis. Advanced Online Publication (August 1, 2026). https://doi.org/10.33205/cma.1895745.
JAMA
1.Mengestie T. Non-unital semigroup of integral operators on Fock spaces. CMA. 2026. doi:10.33205/cma.1895745.
MLA
Mengestie, Tesfa. “Non-Unital Semigroup of Integral Operators on Fock Spaces”. Constructive Mathematical Analysis, no. Advanced Online Publication, Aug. 2026, doi:10.33205/cma.1895745.
Vancouver
1.Tesfa Mengestie. Non-unital semigroup of integral operators on Fock spaces. CMA. 2026 Aug. 1;(Advanced Online Publication). doi:10.33205/cma.1895745
