Books edited:
  • T. Bhattacharyya, M. A. Dritschel (Eds.), Operator Algebras and Mathematical Physics, Operator Theory: Adv. and Appl., Vol. Nr. 247, Springer Basel AG, Basel, 2015.
  • T. Bhattacharyya, R. A. Horn and T. S. S. R. K. Rao (Eds.), In the matrix mould, Expository articles by Rajendra Bhatia. Hindustan Book Agency, New Delhi, 2013.

    Papers:

  • 40. On the Nevanlinna problem - Characterization of all Schur-Agler class solutions affiliated to a given kernel, co-authored with A. Biswas and V. Singh Chandel. Submitted to journal and arXiv link is https://arxiv.org/pdf/1812.00147.pdf

  • 39. Holomorphic functions on the symmetrized bidisk - interpolating sequences and the Toeplitz corona theorem, co-authored with H. Sau. Submitted to journal and arXiv link is https://arxiv.org/pdf/1512.04245.pdf

  • 38. The Agler-Young class, co-authored with S. Shyam Roy and T. Yadav, Submitted to journal and arXiv link is https://arxiv.org/pdf/1712.00940.pdf

  • 37. Toeplitz operators on the symmetrized bidisc, co-authored with B. Krishna Das and H. Sau, Submitted to journal and arXiv link is https://arxiv.org/pdf/1706.03463.pdf

  • 36. Holomorphic functions on the symmetrized bidisk -- realization, interpolation and Extension, co-authored with H. Sau, J. Funct. Anal. 274 (2018), 504-524. DOI is 10.1016/j.jfa.2017.09.013 and arXiv link is https://arxiv.org/pdf/1511.08962.pdf

  • 35. Analytic model of doubly commuting contractions, co-authored with E. K. Narayanan and J. Sarkar, Oper. Matrices 11 (2017), no. 1, pages 101 - 113. DOI is 10.7153/oam-11-07 and arXiv link is https://arxiv.org/pdf/1310.0950.pdf

  • 34. G -unitaries, dilation and a natural example, co-authored with H. Sau, Publ. Res. Inst. Math. Sci. 53 (2017), no. 2, pages 261 - 285. DOI is 10.4171/PRIMS/53-2-2 and arXiv link is https://arxiv.org/pdf/1311.1577.pdf

  • 33. Explicit and unique construction of tetrablock unitary dilation in a certain case, co-authored with H. Sau, Complex Anal. Oper. Theory 10 (2016), no. 4, pages 749–768. DOI is 10.1007/s11785-015-0472-9 and arXiv link is https://arxiv.org/pdf/1412.4363.pdf

  • 32. Admissible fundamental operators, co-authored with S. Lata and H. Sau, Journal of Mathematical Analysis and Applications 425 (2015), pages 983–1003. DOI is 10.1016/j.jmaa.2015.01.006 and arXiv link is https://arxiv.org/pdf/1404.5819.pdf

  • 31. The tetrablock as a spectral set, Indiana Univ. Math. J. 63 (2014), no. 6, pages 1601 - 1629. DOI is 10.1512/iumj.2014.63.5407 and arXiv link is https://arxiv.org/pdf/1207.3395.pdf

  • 30. A functional model for pure Gamma contractions, co-authored with S. Pal, Journal of Operator Theory 71 (2014), no. 2, pages 327 - 339. DOI is 10.7900/jot.2012mar21.1946 and arXiv link is https://arxiv.org/pdf/1202.3841.pdf

  • 29. Characterization of Birkhoff-James orthogonality, co-authored with P. Grover, Journal of Mathematical Analysis and Applications 407 (2013), pages 350-358. DOI is 10.1016/j.jmaa.2013.05.022, open access

  • 28. The Defect sequence for contractive tuples, co-authored with B. Krishna Das, S. Sarkar, Linear Algebra and Its Applications, 438 (2013), pages 315 - 330. DOI is 10.1016/j.laa.2012.07.041 and arXiv link is https://arxiv.org/pdf/1211.5898.pdf

  • 27. Completely bounded kernels, co-authored with M. A. Dritschel and C. S. Todd, Acta Sci. Math. (Szeged), vol. 79, issues 1-2(2013), pages 191-217.
  • DOI is not known, arXiv link is https://arxiv.org/pdf/1001.3590.pdf
  • 26. Hilbert W* modules and coherent states, co-authored with S. Shyam Roy, Journal of Physics A: Math. Theor., vol. 45, 244020 (6pp), 2012.
  • DOI is 10.1088/1751-8113/45/24/244020
  • 25. Dilation of Gamma contractions by solving operator equations, co-authored with S. Pal and S. Shyam Roy, Advances in Mathematics, 230 (2012), pages 577 - 606. DOI is 10.1016/j.aim.2012.02.016 and arXiv link is https://arxiv.org/pdf/1108.0774.pdf

  • 24. Coincidence of Schur Multipliers of the Drury-Arveson Space, co-authored with A. Bhattacharya, Acta Sci. Math. (Szeged), vol. 78, issues 1-2 (2012), pages 265-277. DOI is not known, the arXiv link is https://arxiv.org/abs/0911.3488

  • 23. Abstract characteristic function, Complex Analysis and Operator Theory, vol. 6, issue 1, pages 91-103.
  • DOI is 10.1007/s11785-010-0065-6
  • 22. Coherent states on Hilbert modules, co-authored with S. T. Ali and S. Shyam Roy, Journal of Physics A, vol. 44, no. 27, 275202, 16 pages. DOI is 10.1088/1751-8113/44/27/275202 and the arXiv link is https://arxiv.org/pdf/1007.0798.pdf

  • 21. Coherence of the real symmetric Hardy algebra, co-authored with A. Sasane, Operators and Matrices, vol. 5 no. 2, pages 303 - 308.
  • DOI is 10.7153/oam-05-21
  • 20. Complete Pick Positivity and Unitary Invariance, co-authored with A. Bhattacharya, Studia Mathematica, 200, pages 149-162. DOI is 10.4064/sm200-2-3 and the arXiv link is https://arxiv.org/abs/0910.5093

  • 19. A learning algorithm for risk-sensitive cost, co-authored with A. Basu and V. S. Borkar, Mathematics of Operations Research, vol. 33, No. 4, pages 880-898. DOI is 10.1287/moor.1080.0324

  • 18. On c.n.c commuting contractive tuples, co-authored with J. Eschmeier and J. Sarkar, Proc. Indian Acad. Sci., Math. Sci., vol. 116, no. 3, pages 299 - 316. DOI is 10.1007/BF02829747 and the arXiv link is https://arxiv.org/pdf/math/0509162.pdf

  • 17. Contractive and completely contractive maps over planar algebras, co-authored with G. Misra, Illinois Journal of Mathematics, 49, no. 4, pages 1181 - 1201. Permanent link is projecteuclid.org/euclid.ijm/1258138134 and the arXiv link is https://arxiv.org/pdf/math/0505251.pdf

  • 16. Two parameter uniformly elliptic Sturm-Liouville problems with eigenparameter dependent boundary conditions, co-authored with J. P. Mohandas, Proceedings of Edinburgh Mathematical Society, vol. 48, no. 3, pages 531--547. DOI is 10.1007/1-4020-2623-4_2

  • 15. Characteristic function for polynomially contractive commuting tuples, co-authored with J. Sarkar, Journal of Mathematical Analysis and Applications, vol. 321, No. 1, pages 242 - 259. DOI is 10.1016/j.jmaa.2005.07.075

  • 14. Characteristic function of a pure commuting contractive tuple, co-authored with J. Eschmeier and J. Sarkar, Integral Equations Operator Theory, vol. 53, no. 1, pp. 23 - 32. DOI is 10.1007/s00020-004-1309-5

  • 13. Standard non-commuting and commuting dilations of commuting tuples, co-authored with B.V.R. Bhat and S. Dey, Transactions of American Math. Society, vol.356, No.4, pp. 1551 - 1568. DOI is 10.1090/S0002-9947-03-03310-5

  • 12. Dilation of contractive tuples: a survey, Surveys in Analysis and Operator Theory, vol. 40, CMA, Australian National University, pp. 89 - 126, 2002.

  • 11. Right definite multiparameter Sturm-Liouville problems with eigenparameter dependent boundary conditions, co-authored with T. Kosir and B. Plestenjak, Proceedings of Edinburgh Mathematical Society, vol. 45, pp. 565-578, 2002. DOI is 10.1017/S0013091501000207

  • 10. Some thoughts on Ando's theorem and Parrott's example, co-authored with B. Bagchi and G. Misra, Linear Algebra and Its Applications, vol.341, pages 357-367, 2002. DOI is 10.1016/S0024-3795(01)00454-2

  • 9. A model theory for q-commuting contractive tuples, co-authored with B.V. R. Bhat, Journal of Operator Theory, vol.47, pages 97-116, 2002. Stable URL: http://www.jstor.org/stable/24715527

  • 8. Commuting compact self-adjoint operators on a Pontryagin Space, co-authored with T. Kosir, Integral Equations and Operator Theory, vol.39, pages 377-386, 2001. DOI is 10.1007/BF01203319

  • 7. Multiparameter Sturm-Liouville problems with eigenparameter dependent boundary conditions, co-authored with P.A. Binding and K. Seddighi, Journal of Mathematical Analysis and Applications, vol.264, pages 560-576, 2001. DOI is 10.1006/jmaa.2001.7695

  • 6. Two parameter right definite Sturm-Liouville problems with eigenparameter dependent boundary conditions, co-authored with P.A. Binding and K. Seddighi, Proceedings of Royal Society of Edinburgh Sect. A, vol. 131, pages 45-58, 2001. DOI is 10.1017/S0308210500000780

  • 5. On finite-dimensional commutative non-hermitian fusion algebras, Linear Algebra and Its Applications, vol.287, pages 87-103, 1999. DOI is 10.1016/S0024-3795(98)10135-0

  • 4. On tuples of commuting compact operators, RIMS Kyoto Univ. vol. 32, no. 5, pages 785-795, 1996. DOI is 10.2977/prims/1195162382

  • 3. On the joint spectral radius of commuting matrices, co-authored with R. Bhatia, Studia Mathematica, vol.114, pages 29-38, 1995. Online access at http://matwbn.icm.edu.pl/ksiazki/sm/sm114/sm11413.pdf

  • 2. A generalization of the Hoffman-Wielandt Theorem, co-authored with R. Bhatia, Linear Algebra and Its Applications, vol. 179, pages 11-17, 1993. DOI is 10.1016/0024-3795(93)90318-I

  • 1. A Henrici theorem for joint spectra of commuting matrices, co-authored with R. Bhatia, Proceedings of American Math. Society, vol.118 pages 5-14, 1993. Online access at http://www.ams.org/journals/proc/1993-118-01/S0002-9939-1993-1160292-7/S0002-9939-1993-1160292-7.pdf
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