Köthe dual of Banach sequence spaces $\ell _p[X]$$(1\le p<\infty )$ and Grothendieck space

Wu, Cong Xin, and Bu, Qing-Ying. "Köthe dual of Banach sequence spaces $\ell _p[X]$$(1\le p<\infty )$ and Grothendieck space." Commentationes Mathematicae Universitatis Carolinae 34.2 (1993): 265-273. <http://eudml.org/doc/247473>.

@article{Wu1993,
abstract = {In this paper, we show the representation of Köthe dual of Banach sequence spaces $\ell _p[X]$$(1\le p< \infty )$ and give a characterization of that the spaces $\ell _p[X]$$(1< p< \infty )$ are Grothendieck spaces.},
author = {Wu, Cong Xin, Bu, Qing-Ying},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {vector-valued sequence space; Köthe dual; GAK-space; Grothendieck space; vector-valued sequence spaces; Köthe dual; Grothendieck space},
language = {eng},
number = {2},
pages = {265-273},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Köthe dual of Banach sequence spaces $\ell _p[X]$$(1\le p<\infty )$ and Grothendieck space},
url = {http://eudml.org/doc/247473},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Wu, Cong Xin
AU - Bu, Qing-Ying
TI - Köthe dual of Banach sequence spaces $\ell _p[X]$$(1\le p<\infty )$ and Grothendieck space
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 2
SP - 265
EP - 273
AB - In this paper, we show the representation of Köthe dual of Banach sequence spaces $\ell _p[X]$$(1\le p< \infty )$ and give a characterization of that the spaces $\ell _p[X]$$(1< p< \infty )$ are Grothendieck spaces.
LA - eng
KW - vector-valued sequence space; Köthe dual; GAK-space; Grothendieck space; vector-valued sequence spaces; Köthe dual; Grothendieck space
UR - http://eudml.org/doc/247473
ER -

References

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Leonard I.E., 10.1016/0022-247X(76)90248-1, J. Math. Anal. Appl. 54 (1976), 245-265. (1976) Zbl0343.46010 MR0420216 DOI10.1016/0022-247X(76)90248-1
Wu Congxin, Bu Qingying, The vector-valued sequence spaces $ℓ_{p} (X)$ $(1 \leq p < \infty)$ and Banach spaces not containing a copy of $c_{0}$ , A Friendly Collection of Mathematical Papers I, Jilin Univ. Press, Changchun, China, 1990, 9-16.
Wu Congxin, Bu Qingying, Banach sequence spaces $ℓ_{p} [X]$ $(1 \leq p < \infty)$ and their properties, to appear.
Gupta M., Kamthan P.K., Patterson J., 10.1016/0022-247X(81)90230-4, J. Math. Anal. Appl. 82 (1981), 152-168. (1981) Zbl0492.46010 MR0626746 DOI10.1016/0022-247X(81)90230-4
Diestel J., Sequences and Series in Banach Spaces, Graduate Texts in Math. 92, SpringerVerlag, 1984. MR0737004
Simons S., 10.1007/BF01419563, Math. Ann. 198 (1972), 335-344. (1972) MR0326353 DOI10.1007/BF01419563
Diestel J. Uhl J.J., Vector Measures, Amer. Math. Soc. Surveys 15, Providence, 1977. MR0453964
Kamthan P.K., Gupta M., Sequence Spaces and Series, Lecture Notes 65, Dekker, New York, 1981. Zbl0447.46002 MR0606740

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