4 papers
Robustness of infinite frames and Besselian structures
Shankhadeep Mondal, Geetika Verma, Ram Narayan Mohapatra
This paper extends the concepts of Minimal Redundancy Condition (MRC) and robustness of erasures for infinite frames in Hilbert spaces. We begin by establishing a comprehensive fra…
On the paper "Characterizations of weaving for -frames by induced sequences"
Deepshikha, Lalit Kumar Vashisht, Geetika Verma
A counter-example by Xiangchun Xiao, Guoping Zhao and Guorong Zhou in [J. Pseudo-Differ. Oper. Appl., (2021) 12:60] is incorrect. Further, there is no new characterization of weavi…
Optimal splitting of Parseval frames using Walsh matrices
Amie Albrecht, Phil Howlett, Geetika Verma
In 2014 Adam Marcus, Daniel Spielman and Nikhil Srivastava used random vectors to prove a key discrepancy theorem and in so doing gave a positive answer to the long-standing Kadiso…
Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity
Amie Albrecht, Phil Howlett, Geetika Verma
We assume that the generalized resolvent for a bounded linear operator pencil mapping one Banach space onto another has an isolated essential singularity at the origin and is analy…