Unconditionally $p$-null sequences and
unconditionally $p$-compact operators
Studia Mathematica, Tome 224 (2014) no. 2, pp. 133-142
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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 \leq p \infty $, 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.
Keywords:
investigate sequences operators via unconditionally p summable sequences characterize unconditionally p null sequences terms certain tensor product prove every leq infty subset banach space relatively unconditionally p compact only contained closed convex hull unconditionally p null sequence
Affiliations des auteurs :
Ju Myung Kim 1
@article{10_4064_sm224_2_2,
author = {Ju Myung Kim},
title = {Unconditionally $p$-null sequences and
unconditionally $p$-compact operators},
journal = {Studia Mathematica},
pages = {133--142},
year = {2014},
volume = {224},
number = {2},
doi = {10.4064/sm224-2-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm224-2-2/}
}
Ju Myung Kim. Unconditionally $p$-null sequences and unconditionally $p$-compact operators. Studia Mathematica, Tome 224 (2014) no. 2, pp. 133-142. doi: 10.4064/sm224-2-2
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