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Convergence of slices and geometric aspect in Banach spaces

  • Samir Kar, Research Scholar, Department of Mathematics, IITM.

It is observed that some geometric properties such as uniformly convexity, strong convexity, Radon-Riesz property of norm can be characterized in terms of the convergence of slices. In this talk, I will discuss some basic geometric properties of Banach spaces involving slices and their geometric interpretation.