Research

Functional Analysis and Operator Theory

My research lies at the intersection of functional analysis, operator theory, and the geometry of Banach spaces. I am particularly interested in how algebraic and spectral properties of operators interact with the geometry of the underlying Banach space. Much of my work focuses on isometries, projections, and the ways in which these two classes of operators are connected.

Published Articles

  1. Projections in the Convex Hull of Isometries on Absolutely Continuous Function Spaces
    Botelho, F., Dey, P., and Easley, Z. · Journal of Mathematical Analysis and Applications 520 (2023), 126877 · Journal

  2. Hermitian Projections on Some Banach Spaces and Related Topics
    Botelho, F., Dey, P., and Ilišević, D. · Linear Algebra and Its Applications 592 (2020), 26–50 · Journal

Preprints

  1. The Bishop–Phelps–Bollobás Property for Extremally Disconnected Ranges: Separable and Low-Density Domains
    Amrutam, T., Dey, P., Liu, C., and Monika · Preprint (2026) · arXiv

  2. On the Convergence of Numerical Index via Operator Openings and Ultraproducts
    Amrutam, T., Dey, P., and Monika · Preprint (2026) · arXiv

  3. Projections in the Algebra Generated by an n-Potent Operator
    Dey, P., Easley, Z., and Monika · Preprint (2025) · arXiv

Research profiles: Google Scholar · ORCID · ResearchGate