4 papers
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…
The Existence of Linear Selection and the Quotient Lifting Property
Monika, Fernanda Botelho, Richard Fleming
Lifting properties for Banach spaces are studied. An alternate version of the lifting property due to Lindenstrass and Tzafriri is proposed and a characterization, up to isomorphis…