Geodesic
Unconditionally $p$-null sequences and unconditionally $p$-compact operators
Ju Myung Kim1
1 Department of Mathematical Sciences Seoul National University Seoul, 151-747, Korea
Studia Mathematica, Tome 224 (2014) no. 2, pp. 133-142

Voir la notice de l'article provenant de 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.
DOI : 10.4064/sm224-2-2
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

Ju Myung Kim 1

1 Department of Mathematical Sciences Seoul National University Seoul, 151-747, Korea 
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 unconditionally $p$-compact operators},
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 unconditionally $p$-compact operators
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 unconditionally $p$-compact operators
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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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