Publications
On Isometric Embeddability of $S_q^m$ into $S_p^n$ as Quasi-Banach spaces- (with Guixiang Hong, Chandan Pradhan, and Samya K. Ray ) to appear in Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 22pp.
Higher-order spectral shift for pairs of contractions via multiplicative path- (with Chandan Pradhan), New York Journal of Mathematics 29 (2023), 25pp.
Characterization of C-symmetric Toeplitz operators for a class of conjugations in Hardy spaces -(with Soma Das, Chandan Pradhan, and Srijan Sarkar), Linear and Multilinear Algebra, DOI: 10.1080/03081087.2022.2092712, (2022) 23 pp.
Isometric Embeddability of S_q^m into S_p^n- (with Guixiang Hong, Avijit Pal, Chandan Pradhan, and Samya Kumar Ray ), Journal of Functional Analysis 282 (2022), 109281.
The Koplienko-Neidhardt trace formula for unitaries - A new proof -(with Soma Das, Chandan Pradhan), Journal of Mathematical Analysis and Applications 505 (2022), no.1, 21pp.
Study of nearly invariant subspaces with finite defect in Hilbert spaces - (with Soma Das), Proc. Indian Acad. Sci. Math. Sci. 132 (2022), no. 1, Paper No. 10, 26 pp.
Trace formula for contractions and it's representation in D - (with Kalyan B. Sinha), Journal of Operator Theory (JOT), 88 (2022), no. 2, 275–288.
Multiplicities, invariant subspaces and an additive formula- ( with Jaydeb Sarkar, and Srijan Sarkar), Proceedings of the Edinburgh Mathematical Society. Series II, 64 (2021), no. 2, 279--297.
Characterization of symmetric points in {$l^n_p$}-spaces - (with Debmalya Sain, Tanusri Senapati), Linear and Multilinear Algebra, 69 (2021), no. 16, 2998--3009.
Kernels of Perturbed Toeplitz Operators in vector-valued Hardy spaces -(with Soma Das, Chandan Pradhan), Advances in Operator Theory 6 (2021), no. 49
Almost invariant subspaces of the shift operator on vector-valued Hardy spaces-(with Soma Das, Chandan Pradhan), Integral Equations Operator Theory 92 (2020), no. 6, Paper No. 52, 15 pp.
A study of non-positive operators between real normed linear spaces - (with Debmalya Sain, Tanusri Senapati), Acta Sci. Math. (Szeged) 86 (2020), no. 3-4, 449–466.
Heisenberg uniqueness pairs on the Euclidean spaces and the motion group - (with Somnath Ghosh, Deb Kumar Giri, Rajesh Srivastava), C. R. Math. Acad. Sci. Paris 358 (2020), no. 3, 365–377.
Trace formulas for relative Schatten class perturbations - (with Anna Skripka) Journal of Functional Analysis, 274 (2018), no. 12, 3377–3410.
On the Carey-Helton-Howe-Pincus trace formula - (with Kalyan B. Sinha), Journal of Functional Analysis, 274 (2018), no. 8, 2265–2290.
Rank of a co-doubly commuting submodule is 2 - (Bata K. Das, and Jaydeb Sarkar), Proceedings of the American Mathematical Society, 146 (2018), no. 3, 1181–1187.
A New Proof of the Helton–Howe–Carey–Pincus Trace Formula - (with Kalyan B. Sinha) Geometric methods in physics, 57–68, Trends Math., Birkhäuser/Springer, [Cham], 2016.
Inner multipliers and Rudin type invariant subspaces - (with Bata K. Das, and Jaydeb Sarkar), Acta Sci. Math. (Szeged), 82 (2016), no. 3-4, 519–528.
Trace formulae in operator theory, Operator algebras and mathematical physics - (with Kalyan B. Sinha), 1–36, Oper. Theory Adv. Appl., 247, Birkhäuser/Springer, Cham, 2015.
Tensor product of quotient Hilbert modules - (with Bata K. Das, and Jaydeb Sarkar), Journal of Mathematical Analysis and Applications, Vol. 424, Issue 1, 727-747.
On submajorization and eigenvalue inequalities - (with B. V. Rajarama Bhat, and G. Sankara Raju Kosuru), Journal of Linear and Multilinear Algebra, 63 (2015), no. 11, 2245–2253.
Star-generating vectors of Rudin's quotient modules - (with Bata K. Das, and Jaydeb Sarkar), Journal of Functional Analysis, 267, 4341-4360.
Wandering subspaces of the Bergman space and the Dirichlet space over polydisc - (with Bata K. Das, Jaydeb Sarkar, and Srijan Sarkar), Integral Equ. Oper. Theory, Volume 79, Issue 4, 567-577.
Third order trace formula - (with Kalyan B. Sinha), Proc. Indian Acad. Sci. (Math. Sci.) Vol. 123, Issue 4, 547-575.
Koplienko trace formula - (with Kalyan B. Sinha), Integral Equ. Oper.Theory, Volume 73, Issue 4, 573-587.
Preprints
Second-order trace formulae - (with Soma Das, and Chandan Pradhan), preprint, available in arXiv.
$M_B$ commuting and $M_B$, $M_{\bar{B}}$ intertwining conjugations in $\bm{L^2(\T)}$- (with Soma Das), preprint, available in arXiv.
Approximation of the spectral action functional in the case of τ-compact resolvents - (with Chandan Pradhan and Anna Skripka), preprint, available in arXiv.
Schmidt subspaces of block Hankel operators - (with Soma Das and Chandan Pradhan) available in arXiv.
Krein and Koplienko trace formulas on normed ideals in several variables- (with Saikat Giri and Chandan Pradhan) available in arXiv.