Research

Mathematical Sciences

Title :

Characterization of Some Classes of Projections in Operator Spaces

Area of Research :

Mathematical Sciences

Principal Investigator :

Dr. Abdullah Bin Abubaker, Indian Institute Of Information Technology, Allahabad, Uttar Pradesh

Contact info :

Timeline Start Year :

2023

Timeline End Year :

2026

Total Budget (INR):

6,60,000

Details

Executive Summary :

Researchers want to characterize two classes of completely bounded linear maps in operators spaces. One is the class of completely bounded generalized bi-circular projections, and the second is the class of local complete isometries. These two classes of operators have been well studied in Banach spaces. This proposed problem is completely new and will bring insightful long term information in the theory of operator spaces.

Organizations involved