Publications:

• Monograph: A. Mal, K. Paul and D. Sain, Birkhoff-James Orthogonality and Geometry of Operator Spaces, Infosys Sci. Found. Ser. Math. Sci., Springer, 2023, xx+270 pp., ISBN 978-981-99-7110-7

Journal Articles:

• A. Mal Linear maps on L(l_pⁿ , l_p^m), (p ∈ {1, ∞}) preserving parallel pairs, Linear Algebra Appl., 737 (2026), 331–352.
• A. Mal, Min–max relations for tuples of operators in terms of component spaces, Ann. Funct. Anal., 16 (2025) 16pp.
• P. Bhunia and A. Mal, Norm inequalities in L(X ) and a geometric constant, Banach J. Math. Anal., 18 (2024) 19pp.
• A. Mal, On joint numerical radius of operators and joint numerical index of a Banach space, Oper. Matrices, 17 (2023), no. 3, 839-856.
• S. Ghosh, A. Mal, K. Paul and D. Sain, On symmetric points with respect to the numerical radius norm, Banach J. Math. Anal, 17 (2023) 25 pp.
• A. Mal, An approximation problem in the space of bounded operators, Numer. Funct. Anal. Optim., 44 (2023) no. 2, 124-137.
• S. Dey, A. Mal and K. Paul, Geometric properties of operator spaces endowed with the numerical radius norm, Ann. Funct. Anal., 14 (2023) no. 1, Paper No 19, 14pp.
• A. Mal, Extreme points of the unit ball of ${\mathcal{L}(X)}_w^*$ and best approximation in ${\mathcal{L}(X)}_w$, Bull. Sci. Math., 179 (2022) Paper No. 103172, 14 pp.
• A. Mal and K. Paul, Distance formulae and best approximation in the space of compact operators, J. Math. Anal. Appl., 509 (2022) no. 1., Paper No. 125952, 19 pp.
• K. Mandal, D. Sain, A. Mal and K. Paul, Norm attainment set and symmetricity of operators on $\ell_p^2$, Adv. Oper. Theory, 7 (2022) no. 1, Paper No. 3, 19 pp.
• A. Mal, K. Paul and J. Sen, Birkhoff-James orthogonality and numerical radius inequalities of operator matrices, Monatsh. Math., 197 (2022) no. 4, 717-731.
• S. Dey, A. Mal and K. Paul, k-smoothness on polyhedral Banach spaces, Colloq. Math, 169 (2022) no. 1, 25-37.
• A. Mal, K. Paul and S. Dey, Characterization of extreme contractions through k-smoothness of operators, Linear Multilinear Algebra, 70 (2022) no. 20, 5301-5315.
• A. Mal, S. Dey and K. Paul, Characterization of k-smoothness of operators defined between infinite-dimensional spaces, Linear Multilinear Algebra, 70 (2022) 3477-3489.
• D. Sain, A. Mal, K. Mandal and K. Paul, On uniform Bishop-Phelps-Bollobas type approximations of linear operators and preservation of geometric properties, J. Math. Anal. Appl., 494 (2021) no. 1, Paper No. 124582, 22 pp.
• A. Mal and K. Paul, Birkhoff-James orthogonality to a subspace of operators defined between Banach spaces, J. Operator Theory, 85 (2021) No. 2, 463-474.
• D. Sain, K. Paul and A. Mal, On extreme contractions between real Banach spaces, Expo. Math., 39 (2021) No. 1, 33-47.
• D. Sain, A. Mal, P. Bhunia and K. Paul, On numerical radius and Crawford number attainment sets of a bounded linear operator, J. Convex Analysis, 28 (2021), No. 1, 067-080.
• J. Sen, A. Mal and K. Paul, Characterization of approximate Birkhoff-James orthogonality sets in a Banach space, J. Convex Analysis, 27 (2020) No. 3, 881-892.
• A. Mal and K. Paul, Characterization of k-smooth operators between Banach spaces, Linear Algebra Appl., 586 (2020) 296-307.
• D. Sain, A. Mal and K. Paul, Some remarks on Birkhoff-James orthogonality of linear operators, Expo. Math., 38 (2020) 138-147.
• D. Sain, K. Paul, A. Mal and A. Ray, A complete characterization of smoothness in the space of bounded linear operators, Linear Multilinear Algebra, 68 (2020) No. 12, 2484-2494.
• A. Mal, K. Paul, T.S.S.R.K. Rao and D. Sain, Approximate Birkhoff-James orthogonality and smoothness in the space of bounded linear operators, Monatsh. Math., 190 (2019) 549-558.
• A. Mal, D. Sain and K. Paul, On some geometric properties of operator spaces, Banach J. Math. Anal., 13 (2019) (1) 174-191.
• K. Paul, A. Mal and P. Wojcik, Symmetry of Birkhoff-James orthogonality of operators defined between infinite dimensional Banach spaces, Linear Algebra Appl., 563 (2019) 142-153.
• D. Sain, K. Paul and A. Mal, On Approximate Birkhoff-James Orthogonality and Normal Cones in a Normed Space, J. Convex Analysis, 26 (2019) 341-351.
• K. Paul, D. Sain and A. Mal, Approximate Birkhoff-James orthogonality in the space of bounded linear operators, Linear Algebra Appl., 537 (2018) 348-357.
• D. Sain, K. Paul, A. Mal and K. Mandal, Orthogonality of bounded linear operators on complex Banach spaces, Adv. Oper. Theory, 3 (2018) no 3, 699-709.
• D. Sain, K. Paul and A. Mal, A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space, J. Operator Theory, 80 (2018) 399-413.