Classification of Banach Spaces using differentiability
Implementing Organization
Shiv Nadar Institution Of Eminence
Principal Investigator
Prof. Srinivasa Siva Taduri
Distinguished Professor
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Shiv Nadar Institution Of Eminence
CO-Principal Investigator
Dr. Priyanka Grover
Shiv Nadar Institution Of Eminence
About
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.
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