Syamantak Das

collaborators

3 papers

math.FA2025

On Chebyshev centers in Banach spaces

Syamantak Das, Tanmoy Paul

In this note, we observe that $X \in (GC)$ if $X$ admits Chebyshev center for any finite set in it. This answers the problem raised by Veselý, addressed in [{\em Generalized centers…

math.FA2025

Transfer of Approximation properties under Local Constraints and Best Simultaneous Approximation on Sums

Syamantak Das

It is folklore that the sum of two $M$ -ideals (semi $M$ -ideals) is also an $M$ -ideal (a semi $M$ -ideal). Numerous authors have attempted to investigate such properties of subspaces…

math.FA2025

A study on $\mr{F}$-simultaneous approximative $τ$ -compactness property in Banach spaces

Syamantak Das, Tanmoy Paul

Veselý (1997) studied Banach spaces that admit $f$ -centers for finite subsets of the space. In this work, we introduce the concept of $\mr{F}$-simultaneous approximative $τ$ -compac…

On Chebyshev centers in Banach spaces

Transfer of Approximation properties under Local Constraints and Best Simultaneous Approximation on Sums

A study on $\mr{F}$-simultaneous approximative τ-compactness property in Banach spaces

A study on $\mr{F}$-simultaneous approximative $τ$ -compactness property in Banach spaces