Recent papers and preprints

1. Two states (with Mithun Mukherjee), to appear in the Houston Journal of Mathematics. arXiv:1710.00180.

2. Roots of completely positive maps (with Robin Hillier, Nirupama Mallick, and Vijaya Kumar U ), Linear Algebra Appl. 587 (2020), 143-165. MR4030295.

3. Structure of block quantum dynamical semigroups and their product systems, (with Vijaya Kumar U), Infin. Dimens. Anal. Quantum Probab. Relat. Top. , Vol. 23, No. 01, 2050001 (2020). arXiv:1908.04098.

4. A factorization property of positive maps on C*-algebras, (with H. Osaka), to appear in the International Journal of Quantum Information. arXiv:1912.02381.

5. A caricature of dilation theory (with Sandipan De and N. Rakshit), arXiv:2004.09255

6. Stinespring's Theorem for Unbounded Operator valued Local completely positive maps and Its Applications, (with Anindya Ghatak and P. Santhosh Kumar), arXiv:2004.12717

7. C∗-extreme points of positive operator valued measures and unital completely positive maps, (with Tathagata Banerjee and Manish Kumar), arXiv:2006.07076.

Publications 2015-2019

1. On submajorization and eigenvalue inequalities, (with Arup Chattopadhyay, G. Sankara Raju Kosuru),Linear Multilinear Algebra, 63 (2015), no. 11, 2245-2253. MR3401940.

2. Stability of Quantum Dynamical Semigroups (with Sachi Srivastava), Operator semigroups meet complex analysis, harmonic analysis and mathematical physics, (Ed. W. Arendt, R. Chill and Y. Tomilov), Operator Theory: Advances and Applications, Vol. 250, 67-85 (2015).MR3468209.

3. Pure semigroups of isometries on Hilbert C*-modules, ( with Michael Skeide), Journal of Functional Analysis 269 (2015), no. 5, 1539-1562. MR3369946.

4. On the equivalence of separability and extendability of quantum states, (with K. R. Parthasarathy and Ritabrata Sengupta), Reviews in Mathematical Physics, Vol. 29, No. 4 (2017) 1750012. MR3647289.

5. Regular representations of completely bounded maps (with Nirupama Mallick and K. Sumesh), Pacific Journal of Mathematics, Vol. 289 (2017), No 2, 257-286. DOI: 10.2140/pjm.2017.289.257. MR3667173.

6. Additive units of product systems (with J. Martin Lindsay and Mithun Mukherjee), Transactions of the American Mathematical Society, 370 (2018), no. 4, 2605-2637. MR3748579.

7. Real Normal Operators and Williamson's Normal Form (with Tiju Cherian John), Acta Sci Math (Szeged), Volume 85, Numbers 3-4, ( 2019), 507-518.

8. Infinite mode quantum Gaussian states (with Tiju Cherian John and R. Srinivasan), Rev. Math. Phys. 31 (2019), no. 9, 1950030, 33 pp. 8. MR4014466. arXiv:1804.05049.