Vector-valued sequence space and its properties
Commentationes Mathematicae Universitatis Carolinae (1996)
- Volume: 37, Issue: 2, page 207-216
- ISSN: 0010-2628
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topBu, Qing-Ying. "Vector-valued sequence space $BMC(X)$ and its properties." Commentationes Mathematicae Universitatis Carolinae 37.2 (1996): 207-216. <http://eudml.org/doc/247937>.
@article{Bu1996,
abstract = {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.},
author = {Bu, Qing-Ying},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {vector-valued sequence space; topology; series; compact sets; vector topology; vector-valued sequence space; convergence of sequences; sequentially compact sets},
language = {eng},
number = {2},
pages = {207-216},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Vector-valued sequence space $BMC(X)$ and its properties},
url = {http://eudml.org/doc/247937},
volume = {37},
year = {1996},
}
TY - JOUR
AU - Bu, Qing-Ying
TI - Vector-valued sequence space $BMC(X)$ and its properties
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 2
SP - 207
EP - 216
AB - 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.
LA - eng
KW - vector-valued sequence space; topology; series; compact sets; vector topology; vector-valued sequence space; convergence of sequences; sequentially compact sets
UR - http://eudml.org/doc/247937
ER -
References
top- Bu Q.Y., Orlicz-Pettis type theorem for compact operators, Chinese Ann. of Math. 17A:1 (1996), 79-86. (1996) Zbl0923.46007
- Li R.L., Bu Q.Y., Locally convex spaces containing no copy of , J. Math. Anal. Appl. 172:1 (1993), 205-211. (1993) MR1199505
- Li R.L., Swartz C., Spaces for which the uniform boundedness principle holds, Studia Sci. Math. Hungar. 27 (1992), 379-384. (1992) Zbl0681.46001MR1218160
- Pietsch A., Nuclear Locally Convex Spaces, Springer-Verlag, Berlin, 1972. Zbl0308.47024MR0350360
- Wilansky A., Modern Methods in Topological Vector Spaces, McGraw-Hill, New York, 1978. Zbl0395.46001MR0518316
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