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Classification of Banach Spaces using differentiability

Implementing Organization

Principal Investigator
Prof. Srinivasa Siva Taduri
Distinguished Professor, Shiv Nadar Institution of Eminence Deemed to be University, Greater Noida
CO-Principal Investigator
Dr. Priyanka Grover
Shiv Nadar Institution of Eminence Deemed to be University, Greater Noida

Project Overview

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.
Funding Organization
Quick Information
Area of Research
Mathematical Sciences
Focus Area
Mathematics
Start Date
2024
Status
ongoing
Contact
srin[at]fulbrightmail[dot]org
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
Publications
00
No. of Patents
Filed : 00
Grant : 00
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