Home
Embedded Files
Santhosh Kumar Pamula
Santhosh Kumar Pamula
Assistant Professor, Department of Mathematical Sciences
Indian Institute of Science Education and Research (IISER) Mohali
Email: santhoshkp@iisermohali.ac.in
Research Interests:
Research Interests:
Functional Analysis, Operator Theory, Operator Algebras.
Functional Analysis, Operator Theory, Operator Algebras.
My research primarily focuses on functional analysis and operator theory. Currently, I am investigating (local) completely positive maps on (locally) C*-algebras within both linear and multilinear frameworks. Additionally, my research interests extend to the pseudo S-spectrum of quaternionic operators as well as various problems concerning numerical ranges.
📚 Publications
11. A structure theorem for local completely contractive maps
With R. Siddique
Positivity, Vol. 30 (2026). | 📄 Download PDF
10. Block decompositions of operator moment dilations
With B.V. Rajarama Bhat and A. Ghatak
Banach J. Math. Anal., Vol. 19 (2025). | 📄 Download PDF
9. Pseudo S-spectra of special operators in quaternionic Hilbert spaces
With Kousik Dhara
Linear Algebra Appl., Vol. 656, 345–367 (2023). | 📄 Download PDF
8. A Radon-Nikodym theorem for local completely positive multilinear invariant maps
With A. Ghatak
Linear and Multilinear Algebra, Vol. 70 (2022). | 📄 Download PDF
7. Stinespring’s theorem for unbounded operator valued local completely positive maps and its applications
With B.V. Rajarama Bhat and A. Ghatak
Indagationes Mathematicae, Vol. 32, 547–578 (2021). | 📄 Download PDF
6. Strongly irreducible factorization of Quaternionic operators and Riesz decomposition theorem
Banach J. Math. Anal., Vol. 15 (2021). | 📄 Download PDF
5. Spectral theorem for quaternionic normal operators: Multiplication form
With G. Ramesh
Bull. Sci. Math., Vol. 159 (2020). | 📄 Download PDF
4. A note on convexity of sections of quaternionic numerical range
Linear Algebra Appl., Vol. 572, 92–116 (2019). | 📄 Download PDF
3. Spectral theorem for quaternionic compact normal operators
With G. Ramesh
J. Analysis, Vol. 25, No. 1, 65–81 (2017). | 📄 Download PDF
2. Borel functional calculus for quaternionic normal operators
With G. Ramesh
J. Math. Phys., Vol. 58, No. 5, 053501, 16 pp. (2017). | 📄 Download PDF
1. On the polar decomposition of right linear operators in quaternionic Hilbert spaces
With G. Ramesh
J. Math. Phys., Vol. 57, No. 4, 043502, 16 pp. (2016). | 📄 Download PDF
Preprints
Preprints
Functional Models of Abelian locally von Neumann algebras and Direct integrals of locally Hilbert spaces
with Aurelian Gheondea and C. J. Kulkarni
Numerical range of semilinear quaternionic operators
with Kuldeep K Patel, submitted.
Direct Integral and Decompositions of locally Hilbert spaces, arXiv:2409.01200 (with Chaitanya J. Kulkarni).
Character space and Gelfand type representation of locally C*-algebra, arXiv:2409.01755 (with Rifat Siddique).
Quaternionic numerical range attainment problem (in preparation).
The algebra of descent S-spectrum of operators (in preparation).
Google Sites
Report abuse