📧 vijay@ksom.res.in
📞 0495 2809004
Office: F2
Prof. A. K. Vijayarajan is a Professor of Mathematics at the Kerala School of Mathematics. His research centers on non-commutative functional analysis, operator algebras, and their applications to quantum theory. He works extensively with operator systems, injective envelopes, boundary representations, and tensor products in the context of $C^*$-algebras and ternary rings of operators (TROs).
A central theme of his work is understanding rigidity and extremality properties of operator spaces—such as hyperrigid and quasi-hyperrigid systems—and how these properties influence approximation theory and dilation phenomena in operator algebras. His investigations contribute to the structure theory of $C^*$-algebras and non-commutative geometry, often intersecting with questions from quantum measurement and state extension.
🔗 Personal Homepage
- Extreme states and boundary representations of operator spaces in ternary rings of operators (with A. M. Shabna, C. S. Arunkumar, M. S. Syamkrishnan), J. Algebra Appl., 2024.
- Bi-extremity of embeddings of operator spaces into their injective envelopes (with M. S. Syamkrishnan), Adv. Oper. Theory, 2022.
- On weak boundary representations and quasi hyperrigidity for operator systems (with C. S. Arunkumar), J. Anal., 2022.
- Extreme states on operator spaces in ternary rings of operators (with C. S. Arunkumar, A. M. Shabna, M. S. Syamkrishnan), Proc. Indian Acad. Sci. Math. Sci., 2021.
- Boundary representations and rectangular hyperrigidity (with C. S. Arunkumar, P. Shankar), Banach J. Math. Anal., 2021.
- Quasi hyperrigidity and weak peak points for non-commutative operator systems (with M. N. N. Namboodiri, S. Pramod, P. Shankar), Proc. Indian Acad. Sci. Math. Sci., 2018.