Research
Title : | Classification of Banach Spaces using differentiability |
Area of research : | Mathematical Sciences |
Focus area : | Mathematics |
Principal Investigator : | Prof. Srinivasa Siva Taduri, Distinguished Professor, Shiv Nadar Institution of Eminence Deemed to be University, Greater Noida |
Timeline Start Year : | 2024 |
Contact info : | srin[at]fulbrightmail[dot]org |
Details
Executive Summary : | This project aims to classify Banach spaces using one-sided directional derivatives, closely related to state-space of vectors. It aims to classify classical, concrete Banach algebras, C∗ and von Neumann algebras, and spaces of operators between Banach spaces. The core concepts are interlinked to aspects of analysis, such as proximinality, norm upper-semi-continuity, and subdifferential sets in convex analysis. The project also focuses on finding subdifferential sets of the norm function in certain spaces and applying them to approximation problems. |
Co-PI: | Dr. Priyanka Grover, Shiv Nadar Institution of Eminence Deemed to be University, Greater Noida |
Total Budget (INR): | 24,36,526 |
Organizations involved
Implementing Agency : | Shiv Nadar Institution of Eminence Deemed to be University, Greater Noida Funding Agency : Science and Engineering Research Board (SERB), Department of Science and Technology (DST) | |