4 papers
Nonparametric Regression with Measurement Error in Banach Spaces
Pratim Guha Niyogi, Priyadarshi Dey
We consider nonparametric regression with a Banach-space-valued predictor where the covariate takes values in a general separable Banach space. Our primary objective is to develop…
The Bishop--Phelps--Bollobás Property for Extremally Disconnected Ranges: Separable and Low-Density Domains
Tattwamasi Amrutam, Priyadarshi Dey, Chunlin Liu +1
We prove a Bishop--Phelps--Bollobás theorem for operators into spaces of continuous scalar-valued functions on extremally disconnected compact Hausdorff spaces over both the real a…
On the Convergence of Numerical Index via Operator Openings and Ultraproducts
Monika, Tattwamasi Amrutam, Priyadarshi Dey
The numerical index of a Banach space is a geometric constant relating the numerical radius of bounded linear operators to their standard operator norm. In this paper, we study the…
Projections in the Algebra generated by an n-Potent Operator
Monika, Priyadarshi Dey, Zachary Easley
This paper investigates the projection operators that lie in the algebra generated by powers of an -potent operator on a complex Banach space, where . We give a com…