Deepak Gothwal

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math.FA2025

Some Geometric Aspects Related to Lim's Condition

Deepak Gothwal, T. S. S. R. K. Rao

In their seminal work, Lau and Mah (1986) study $w^{*}$ -normal structure in the space of operators $L (H)$ , on a Hilbert space $H$ , using a geometric property of the dual un…

math.FA2025

(Asymptotic) uniform smoothness, ball separation and residuality results

Pradipta Bandyopadhyay, Deepak Gothwal

In this article, we discuss a ball separation characterisation of asymptotically uniformly smooth (AUS) norms. We use this characterisation to prove the residuality of the set of e…

math.FA2020

On uniform Mazur intersection property

Pradipta Bandyopadhyay, Jadav Ganesh, Deepak Gothwal

In this paper, we show that a Banach space $X$ has the Uniform Mazur Intersection Property (UMIP) if and only if every $f \in S (X^{*})$ is uniformly w*-semidenting point of $B (X^{*})$ .…