Vector-valued sequence space $BMC(X)$ and its properties
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 207-216
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In this paper, a vector topology is introduced in the vector-valued sequence space $\text{\it BMC}\,(X)$ and convergence of sequences and sequentially compact sets in $\text{\it BMC}\,(X)$ are characterized.
In this paper, a vector topology is introduced in the vector-valued sequence space $\text{\it BMC}\,(X)$ and convergence of sequences and sequentially compact sets in $\text{\it BMC}\,(X)$ are characterized.
Classification :
40A05, 46A05, 46A45, 46E40
Keywords: vector-valued sequence space; topology; series; compact sets
Keywords: vector-valued sequence space; topology; series; compact sets
@article{CMUC_1996_37_2_a0,
author = {Bu, Qing-Ying},
title = {Vector-valued sequence space $BMC(X)$ and its properties},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {207--216},
year = {1996},
volume = {37},
number = {2},
mrnumber = {1398996},
zbl = {0852.46006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1996_37_2_a0/}
}
Bu, Qing-Ying. Vector-valued sequence space $BMC(X)$ and its properties. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 207-216. http://geodesic.mathdoc.fr/item/CMUC_1996_37_2_a0/