We investigate sequences and operators via the unconditionally p-summable sequences. We characterize the unconditionally p-null sequences in terms of a certain tensor product and then prove that, for every 1 ≤ p < ∞, a subset of a Banach space is relatively unconditionally p-compact if and only if it is contained in the closed convex hull of an unconditionally p-null sequence.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-2,
author = {Ju Myung Kim},
title = {Unconditionally p-null sequences and unconditionally p-compact operators},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {133-142},
zbl = {1320.46019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-2}
}
Ju Myung Kim. Unconditionally p-null sequences and unconditionally p-compact operators. Studia Mathematica, Tome 223 (2014) pp. 133-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-2/