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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

Fall 2024 Courses

Applied Calculus 
Analysis 1
Mathematics and Politics 

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",   Operator and Matrix Theory Function Spaces and Applications, Springer Nature, 2024. 
  • S.  Basu.  B.  Guerrero S.  Seal and J.  M. V.  Yeguas, ``Non-rough norms in   operator spaces",Mediterranean  Journal of  Mathematics  Volume 20 No.6 ,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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