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
September 15, 2026
Submission Date
February 23, 2026
Acceptance Date
August 5, 2026
Published in Issue
Year 2026 Volume: 9 Number: 3
APA
Mengestie, T. (2026). Non-unital semigroup of integral operators on Fock spaces. Constructive Mathematical Analysis, 9(3), 167-176. https://doi.org/10.33205/cma.1895745
AMA
1.Mengestie T. Non-unital semigroup of integral operators on Fock spaces. CMA. 2026;9(3):167-176. doi:10.33205/cma.1895745
Chicago
Mengestie, Tesfa. 2026. “Non-Unital Semigroup of Integral Operators on Fock Spaces”. Constructive Mathematical Analysis 9 (3): 167-76. https://doi.org/10.33205/cma.1895745.
EndNote
Mengestie T (September 15, 2026) Non-unital semigroup of integral operators on Fock spaces. Constructive Mathematical Analysis 9 3 167–176.
IEEE
[1]T. Mengestie, “Non-unital semigroup of integral operators on Fock spaces”, CMA, vol. 9, no. 3, pp. 167–176, Sept. 2026, doi: 10.33205/cma.1895745.
ISNAD
Mengestie, Tesfa. “Non-Unital Semigroup of Integral Operators on Fock Spaces”. Constructive Mathematical Analysis 9/3 (September 15, 2026): 167-176. https://doi.org/10.33205/cma.1895745.
JAMA
1.Mengestie T. Non-unital semigroup of integral operators on Fock spaces. CMA. 2026;9:167–176.
MLA
Mengestie, Tesfa. “Non-Unital Semigroup of Integral Operators on Fock Spaces”. Constructive Mathematical Analysis, vol. 9, no. 3, Sept. 2026, pp. 167-76, doi:10.33205/cma.1895745.
Vancouver
1.Tesfa Mengestie. Non-unital semigroup of integral operators on Fock spaces. CMA. 2026 Sep. 15;9(3):167-76. doi:10.33205/cma.1895745
