Director – KSCSTE

A K VIJAYARAJAN

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Ph.D. Supervision

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A K VIJAYARAJAN
Director
KSCSTE-KERALA SCHOOL OF MATHEMATICS

My broad areas of research are Functional Analysis and Operator Algebras. I have worked on topics related to the index theory of von Neumann algebras earlier. I am currently interested in Non-commutative functional analysis in general and Operator systems, Operator spaces and Non-commutative convexity in the context of C*-algebras, in particular.

Education

BSc(Mathematics): University of Calicut

MSc(Mathematics): University of Calicut

Ph.D(Mathematics): Indian Statistical Institute, Bangalore

Current Position

Professor and Director
Kerala School of Mathematics, Kozhikode, Kerala, India.

Post - doctoral experience

Fields Institute for research in mathematical sciences, Canada
University of Ottawa, Canada
Dalhousie university, Canada
University of Nottingham, UK
Indian Institute of Science, Bangalore

Journal Publications

Extreme states and boundary representations of operator spaces in ternary rings of operators, J. Alg. Appl., (accepted: 19 Dec. 2022) co-authors: A. M. Shabna, C. S. Arunkumar, M.S. Syamkrishnan

https://doi.org/10.1142/S0219498824501007

Bi-extremity of embeddings of operator spaces into their injective envelopes; Advances in Operator Theory volume 7, Article number: 52 (2022) ; co-author: M. S. Syamkrishnan;

https://doi.org/10.1007/s43036-022-00214-0

On weak boundary representations and quasi hyperrigidity for operator systems; J. Anal., Vol 30, pp 1219-127(2022); co-author: C S Arunkumar

https://doi.org/10.1007/s41478-022-00405-1

Extreme states on operator spaces in ternary rings of operators.Proc. Indian Acad. Sci. (Math. Sci.) (2021) 131:44; co-authors: C S Arunkumar,, A M Shabna, M S Syamkrishnan

https://doi.org/10.1007/s12044-021-00639-2

Boundary representations and rectangular hyperrigidity. Banach J. Math. Anal. 15, 38 (2021) ; co-authors: C. S. Arunkumar; P. Shankar

https://doi.org/10.1007/s43037-021-00122-0

Hilbert modules characterization for weak hyperrigid operator systems. J Anal 28, 905–912 (2020); co-author: Shankar P

https://doi.org/10.1007/s41478-020-00220-6

Quasi hyperrigidity and weak peak points for non-commutative operator systems; Proc. Math. Sci. 128, 66 (2018). co-authors: M. N. N. Namboodiri, S. Pramod, P. Shankar;

https://doi.org/10.1007/s12044-018-0430-3

Tensor products of hyperrigid operator systems." Ann. Funct. Anal. 9 (3) 369 - 375, August 2018; co-author: P. Shankar;

https://doi.org/10.1215/20088752-2017-0043

Hyperrigid operator systems and Hilbert modules." Ann. Funct. Anal. 8 (1) 133 - 141, February 2017; co-author: P. Shankar

https://doi.org/10.1215/20088752-3773182

Separating and quasi hyperrigid operator systems in C*-algebras; Tbilisi Mathematical Journal 10(4) (2017), pp. 55-61; DOI 10.1515/tmj-2017-0045; co-authors: P.Shanakr, S. Pramod;

https://doi.org/10.1515/tmj-2017-0045

Cebyˇsev Subspaces of C*-Algebras – a Survey; Operator Theory: Advances and Applications, Vol. 247, 101–121; 2015 Springer International Publishing; ; co-authors: M. N. N. Namboodiri, S. Pramod;; Operator Algebras and Mathematical Physics (pp.101-121)

https://link.springer.com/chapter/10.1007/978-3-319-18182-0_7

Finite dimensional Cebysev subspaces of C*-algebras; J. Ramanujan Math. Soc. 29, No.1 (2014) 63–74; co-authors: M. N. N. Namboodiri, S. Pramod;

https://drive.google.com/file/d/0B_RIasLa4TYoUFlJR01KNmF6V2M/view?usp=sharing

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