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Mathematics and Statistics

Sudeshna Basu, Ph.D.

Assistant Teaching Professor
Sudeshna Basu

Education

M.Sc. University of Calcutta, India
Ph.D. Indian Statistical Institute, India

Spring 24 Courses

Applied Calculus
Discrete Methods

Research Interests

  • Geometry of Banach Spaces
  • Convexity theory of Banach Spaces
  • Operator Theory
  • P-adic Functional Analysis

Publications

  • S. Basu S. Seal, “ Small diameter properties in ideals of Banach Spaces ” Journal of Convex Analysis Volume 30 (2023) J Math Archive link, https://doi.org/10.48550/arXiv.2109.04963, 2022.
  • S. Basu S. Seal, “Small Combination of Slices, Dentability and Stability Results Of Small Diameter Properties In Banach Spaces”, Journal of Mathematical Analysis and Applications, Volume (507), https://doi.org/10.1016/j.jmaa.2021.125793, 2022.
  • S. Basu, S. Som, L. K. Dey,“Farthest Point Problem and Partial Statistical Continuity in Normed Linear Spaces”, Quaestiones Mathematicae , Volume (44), No.4, https://doi.org/10.2989/16073606.2021.1886193, 2021.
  • S. Basu S. Seal, “Two aspects of small diameter properties”, To appear in The proceedings of IWOTA 2022,Operator Theory: Advances and Appliations, 2023.
  • J. B. Guerrero, S. Basu, S. Seal and J. M. V. Yeguas, “Non-rough norms in operator spaces”, (To appear in Mediterranean Journal of Mathematics ), 2023.
  • S. Basu, “On Ball dentable property in Banach Spaces” Mathematical Analysis and its Applications in Modeling (ICMAAM 2018, Springer Proceedings in Mathematics and Statistics, Volume (302), pages 144–149, https://link.springer.com/conference/icmaam, 2020.
  • S. Basu, A. I. Singh, “Linear Hahn Banach Type Extension Operators in Banach Algebras of Operators”, Mathematical Proceedings of the Royal Irish Academy Volume (119A) No.1, pages 7–25, https://doi.org/10.3318/pria.2019.119.02, 2019.
  • S. Basu, “On Schatten Class Operators in p-adic Hilbert Spaces” Contemp. Math, AMS, Volume (704), pages 37–48, https://doi.org/10.1090/conm/704, 2018.
  • S. Basu, “On Span of Small Combination of Slices Point in Banach Spaces” Contemp. Math, AMS, Volume (687), pages 45–53, 2017.
  • S. Basu, T. S. S. R. K. Rao,“On Small Combination of Slices in Banach Spaces”, Extracta Mathematcae, Volume (31) No.1, pages 1–10, https://publicaciones.unex.es/index.php/EM/article/view/2605-5686.31.1.1 2016.
  • S. Basu T. Gill, V. Steadman, Z. Zachary, “On Natural adjoint operators in Banach Spaces”, Proceedings of American Mathematical Society, Vol ume (132), pgs 1429-1434, https://www.jstor.org/stable/4097221, 2004.
  • S. Basu, T. Diagana, F. Ramarosan, “On P-adic Hilbert Schimdt Operators” , Journal of Analysis and Applications, Volume (2),No. 3 (2004) , pages 173–188, http://sasip.net/jaa-index.html, MR 2092641(2005e: 47153).
  • P. Bandyopadhaya, P. Basu S. Dutta, B. L. Lin, “Very non-constrained subspaces of Banach Spaces”, Extracta Mathematicae, Volume (18) , No. 2, pages 161–185, https://www.eweb.unex.es/eweb/extracta/Vol-18-2/18a2Band.pdf, 2003.
  • S. Basu, “The Ball Generated Property in Operator Spaces”, Indagtiones Mathematicae, N. S. 13 (2), pages 169–175, https://doi.org/10.1016/S0019-3577(02)80002-7, 2002.
  • P. Bandyopadhaya, S. Basu, “On Nicely Smooth Banach Spaces”, Extracta Mathematicae, Volume(16), No. 1, pages 27–45, 2001.
  • P. Bandyopadhaya, S. Basu, “On a New Asymptotic Norming Property” , Indagotiones Mathematicae, NS 10, No.1, pages 15–23, https://doi.org/10.1016/S0019-3577(99)80002-0, 1999.
  • S. Basu, T. S. S. R. K. Rao, “Some Stability Results for Asymptotic Norming Properties in Banach Spaces” , Colloquium Mathematicum, Volume, (75), pages 271–284, 1998.
  • S. Basu , L. K . Dey S. Seal, S. Som, “Farthest Point Problem for I-M Compact Sets”, arXiv:2008.08491 [math.FA], (In preparation), 2021.

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