Ministry of Education
Athul Augustine
VIDWAN ID: 689568

Mr Athul Augustine

Male Doctor of Philosophy
Research Scholar | Department of Mathematics
Cochin University of Science & Technology, Kochi
Kerala
Expertise: Mathematics
ORCID 0009-0005-8738-6413 Scopus 57985764800
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8 Publications
0 Projects
4 Scopus Citations
13 CrossRef
5 Years 3 Months Total Experience
Publications
8 Total
Articles
7
Chapters
1
Activity

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4 Citations
1 h-index
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13 Citations
2 h-index
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Personal Details

Doctor of Philosophy
2026
Directorate of Water Managament
Master of Arts
2019
Directorate of Water Managament
Master of Arts
2017
N/A
Research Scholar
Jun 2021 – Present
Cochin University of Science & Technology, Kochi | Department of Mathematics
Physical Sciences
Mathematics

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Scholarly Publications

Survey on the Convexity of the Berezin Range

Book Chapter
Year: 2025. Pages: 173-188 .
Authors: Athul Augustine; P. Shankar
DOI 10.1007/978-3-031-90240-6_8 Crossref Crossref: 1

Composition Operators, Convexity of Their Berezin Range and Related Questions

Journal Article
Complex Analysis and Operator Theory. Year: 2023. Volume: 17 , Issue: 8 , Pages: 126 .
Authors: Athul Augustine; M. Garayev; P. Shankar
DOI 10.1007/s11785-023-01432-x Crossref Crossref: 8

Tensor products of weak hyperrigid sets

Journal Article
3C Empresa. Investigación y pensamiento crítico. Year: 2022. Volume: 11 , Issue: 02 , Pages: 164-171 .
Authors: V. A. Anjali; Athul Augustine; P. Shankar
DOI 10.17993/3cemp.2022.110250.164-171

Z-Hyperrigidity and Z-boundary representations

Journal Article
3C Empresa. Investigación y pensamiento crítico. Year: 2022. Volume: 11 , Issue: 02 , Pages: 173-184 .
Authors: V. A. Anjali; Athul Augustine; P. Shankar
DOI 10.17993/3cemp.2022.110250.173-184

Convexity of the Berezin range of finite rank operators

Journal Article
Indian Journal of Pure and Applied Mathematics. Year: 2026.
Authors: Athul Augustine; M. Garayev; P. Shankar
DOI 10.1007/s13226-026-00991-x

A family of semi-norms in $$C^*$$-algebras

Journal Article
The Journal of Analysis. Year: 2026. Volume: 34 , Issue: 3 , Pages: 2039-2056 .
Authors: Athul Augustine; Pintu Bhunia; P. Shankar
DOI 10.1007/s41478-026-01068-y Crossref Crossref: 1 Scopus Scopus: 1

On the convexity of Berezin range and Berezin radius inequalities via a class of seminorms

Journal Article
Bulletin des Sciences Mathématiques. Year: 2026. Volume: 206 , Pages: 103762 .
Authors: Athul Augustine; P. Hiran Das; Pintu Bhunia; P. Shankar
DOI 10.1016/j.bulsci.2025.103762 Crossref Crossref: 3 Scopus Scopus: 3

The structure of $${\mathcal {U}}_n$$-twisted power partial isometries

Journal Article
Advances in Operator Theory. Year: 2025. Volume: 10 , Issue: 3 , Pages: 72 .
Authors: Athul Augustine; P. Shankar
DOI 10.1007/s43036-025-00460-y