2 citations · 4 across the 5 of their papers we have counts for
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On Chebyshev centers in Banach spaces
Syamantak Das, Tanmoy Paul
In this note, we observe that if admits Chebyshev center for any finite set in it. This answers the problem raised by Veselý, addressed in [{\em Generalized centers…
Transfer of Approximation properties under Local Constraints and Best Simultaneous Approximation on Sums
Syamantak Das
It is folklore that the sum of two -ideals (semi -ideals) is also an -ideal (a semi -ideal). Numerous authors have attempted to investigate such properties of subspaces…
A study on $\mr{F}$-simultaneous approximative -compactness property in Banach spaces
Syamantak Das, Tanmoy Paul
Veselý (1997) studied Banach spaces that admit -centers for finite subsets of the space. In this work, we introduce the concept of $\mr{F}$-simultaneous approximative -compac…
A study on various generalizations of Generalized centers in Banach spaces
Syamantak Das, Tanmoy Paul
In [{\em Generalized centers of finite sets in Banach spaces}, Acta Math. Univ. Comenian. (N.S.) {\bf 66}(1) (1997), 83--115], Veselý developed the idea of generalized centers for…
On property- and relative Chebyshev centers in Banach spaces-II
Syamantak Das, Tanmoy Paul
We continue to study (strong) property- in Banach spaces. As discussed by Pai \& Nowroji in [{\it On restricted centers of sets}, J. Approx. Theory, {\bf 66}(2), 170--189 (1…