Unconditionally p-null sequences and unconditionally p-compact operators

Ju Myung Kim. "Unconditionally p-null sequences and unconditionally p-compact operators." Studia Mathematica 224.2 (2014): 133-142. <http://eudml.org/doc/285646>.

@article{JuMyungKim2014,
abstract = {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.},
author = {Ju Myung Kim},
journal = {Studia Mathematica},
keywords = {unconditionally -summable sequence; unconditionally -null sequence; unconditionally -compact set; Banach operator ideal; tensor norm},
language = {eng},
number = {2},
pages = {133-142},
title = {Unconditionally p-null sequences and unconditionally p-compact operators},
url = {http://eudml.org/doc/285646},
volume = {224},
year = {2014},
}

TY - JOUR
AU - Ju Myung Kim
TI - Unconditionally p-null sequences and unconditionally p-compact operators
JO - Studia Mathematica
PY - 2014
VL - 224
IS - 2
SP - 133
EP - 142
AB - 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.
LA - eng
KW - unconditionally -summable sequence; unconditionally -null sequence; unconditionally -compact set; Banach operator ideal; tensor norm
UR - http://eudml.org/doc/285646
ER -