A. K. Vijayarajan
Associate Professor
Kerala School of Mathematics
Kunnamangalam
Kozhikod(DT)
Kerala-673571
India
email: vijay@ksom.res.in
Ph(Off): +91 495 2809004

I am interested in the broad area of Functional Analysis and in particular in Operator Algebras. I am currently interested in Quantum approximation and extremal theory in the context of C*-algebras and von Neumann algebras.

University Education

M.Sc. ( Mathematics): University of Calicut, Kerala, India

B.Sc. (Mathematics): University of Calicut, Kerala

Ph.D. (Mathematics)

Indian Statistical Institute, Bangalore Centre, Bangalore, India; 1995
Area of Research: von Neumann Algebras, Index Theory of Subfactors
Title of the thesis: Hypergroups, Graphs and Subfactors
Thesis supervisor: V. S. Sunder*, Indian Statistical Institute Bangalore, India

(*later at IMSc Chennai)

Post-Doctoral assignments

(*)Post-doctoral research fellow, Fields Institute for Research in Mathematical Sciences, Canada, 1 Jan-31 August, 1995.

(*)Post-doctoral research fellow, Department of Mathematics and Statistics, University of Ottawa, Canada, 1, Sept. 1995-30, Aug. 1996.

(*)NBHM post-doctoral research fellow, Indian Institute of Science, Bangalore, India. 1996-1998.

(*)Associate, School of Mathematical Sciences, University of Nottingham, U. K., 2004-2005.

Ph.D. Students

I. Dr. Shankar P, 2014-2018, Graduated in February 2019. Currently, Shankar is a post-doctoral fellow at Indian Statistical Institute, Bangalore

Thesis: A study of hyperrigid operator systems in C*-algebras

Papers published:

Quasi hyperrigidity and weak peak points for non-commutative operator systems, Proc. Ind. Acad. Sci. (Math. Sci.) (2018), 128:66, 14pp, https://doi.org/10.1007/s12044-018-0430-3;\MR3869539. Co-authors: M. N. N. Namboodiri, S. Pramod, A.K. Vijayarajan.
Tensor products of hyperrigid operator systems; Ann. Fnl. Anal, 9(2018), No. 3, pp: 369-375; https://doi.org/10.1255/20088752-2107-0043, \\MR3835224. Co-author: A. K. Vijayarajan.
Separating and quasi hyperrigid operator systems in C*-algebras, Tblisi Mathematical Journal, 10(4) (2017), pp-55-61; https://doi.org/10.1515/tmj-2017-0045, MR3714464. Co-authors: S. Pramod and A.K. Vijayarajan
Hyperrigid operator systems and Hilbert modules, Ann. Fnl. Anal. 8 (2017), no. 1, pp: 133-141, http://dx/doi.org/10.1215/20088752-3773182, ISSN: 2008-8752, MR3572336. Co-author: A. K. Vijayarajan.

II. S. Pramod, Since 2014

Area of work: Non-commutative approximation theory

Papers published:

Quasi hyperrigidity and weak peak points for non-commutative operator systems, Proc. Ind. Acad. Sci. (Math. Sci.) (2018), 128:66, 14pp, https://doi.org/10.1007/s12044-018-0430-3;\MR3869539. Co-authors: M. N. N. Namboodiri, P. Shankar, A.K. Vijayarajan.
Separating and quasi hyperrigid operator systems in C*-algebras, Tblisi Mathematical Journal, 10(4) (2017), pp-55-61; https://doi.org/10.1515/tmj-2017-0045, MR3714464. Co-authors: P. Shankar, A.K. Vijayarajan.
Finite Dimensional Cebysev Subspaces of C*-algebras, Journal of Ramanujan Mathematical Society, 29, No.1 (2014) 63-74, ISSN = 0970-1249; MR3188017.

Co-authors: M.N.N. Namboodiri, A.K. Vijayarajan.

Cebysev Subspaces of C*-algebras-a Survey; Operator Theory: Advances and Applications, Springer International Publishing, Vol. 247, 101-121 (2015),

DOI = 10.1007/978-3-319-18182-0-7, MR3408718.

Co-authors: M.N.N. Namboodiri, A. K. Vijayarajan.

III. M. S. Shyamkrishnan, Since 2017

I am interested in the broad area of Functional Analysis and in particular in Operator Algebras. I am currently interested in Quantum approximation and extremal theory in the context of C*-algebras and von Neumann algebras. Topics in mathematical physics related to von Neumann algebras and C*-algebras also interest me.

Recent Publications

Hilbert modules characterization for weak hyperrigid operator systems, The Journal of Analysis(2020), January 2020 ; https://doi.org/10.1007/s41478-020-00220-6

Co-author: P. Shankar

Quasi hyperrigidity and weak peak points for non-commutative operator systems, Proc. Ind. Acad. Sci. (Math. Sci.) (2018), 128:66, 14pp, https://doi.org/10.1007/s12044-018-0430-3;\MR3869539.

Co-authors: M. N. N. Namboodiri, S. Pramod, P. Shankar.

Tensor products of hyperrigid operator systems; Ann. Fnl. Anal, 9(2018), No. 3, pp: 369-375; https://doi.org/10.1255/20088752-2107-0043, \\MR3835224.

Co-author: P. Shankar.

Separating and quasi hyperrigid operator systems in C*-algebras, Tblisi Mathematical Journal, 10(4) (2017), pp-55-61; https://doi.org/10.1515/tmj-2017-0045, MR3714464. Co-authors: S. Pramod and P. Shankar.
Hyperrigid operator systems and Hilbert modules, Ann. Fnl. Anal. 8 (2017), no. 1, pp: 133-141, http://dx/doi.org/10.1215/20088752-3773182, ISSN: 2008-8752, MR3572336.

Co-author: P. Shankar.

Finite Dimensional Cebysev Subspaces of C*-algebras, Journal of Ramanujan Mathematical Society, 29, No.1 (2014) 63-74, ISSN = 0970-1249; MR3188017.

Co-authors: M.N.N. Namboodiri, S. Pramod.

Cebysev Subspaces of C*-algebras-a Survey; Operator Theory: Advances and Applications, Vol. 247, 101-121 (2015),

DOI = 10.1007/978-3-319-18182-0-7, MR3408718.

Co-authors: M.N.N. Namboodiri, S. Pramod.

Recent Pre-prints

1. Extreme states on operator spaces- Submitted for publication, July 2020

Co-authors: Shabna A. M, Arunkumar C.S, Syamkrishnan M S

2. Matrix convex sets and boundary representations for operator systems, Submitted for publication, May 2020

Co-authors: Syamkrishnan M S, Arunkumar C.S, Shabna A. M

3. Tensor products of weak boundary representations and quasi-hyperrigidity, Submitted for publication, May 2020

Co-author: Arunkumar C.S