Matrix subspaces of L₁
Studia Mathematica (2013)
- Volume: 215, Issue: 3, page 281-285
- ISSN: 0039-3223
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topGideon Schechtman. "Matrix subspaces of L₁." Studia Mathematica 215.3 (2013): 281-285. <http://eudml.org/doc/285801>.
@article{GideonSchechtman2013,
abstract = {If $E = \{e_\{i\}\}$ and $F = \{f_\{i\}\}$ are two 1-unconditional basic sequences in L₁ with E r-concave and F p-convex, for some 1 ≤ r < p ≤ 2, then the space of matrices $\{a_\{i,j\}\}$ with norm $||\{a_\{i,j\}\}||_\{E(F)\} = ||∑_\{k\}||∑_\{l\} a_\{k,l\}f_\{l\}||e_\{k\}||$ embeds into L₁. This generalizes a recent result of Prochno and Schütt.},
author = {Gideon Schechtman},
journal = {Studia Mathematica},
keywords = {subspace of ; unconditional basis; -convexity; -concavity},
language = {eng},
number = {3},
pages = {281-285},
title = {Matrix subspaces of L₁},
url = {http://eudml.org/doc/285801},
volume = {215},
year = {2013},
}
TY - JOUR
AU - Gideon Schechtman
TI - Matrix subspaces of L₁
JO - Studia Mathematica
PY - 2013
VL - 215
IS - 3
SP - 281
EP - 285
AB - If $E = {e_{i}}$ and $F = {f_{i}}$ are two 1-unconditional basic sequences in L₁ with E r-concave and F p-convex, for some 1 ≤ r < p ≤ 2, then the space of matrices ${a_{i,j}}$ with norm $||{a_{i,j}}||_{E(F)} = ||∑_{k}||∑_{l} a_{k,l}f_{l}||e_{k}||$ embeds into L₁. This generalizes a recent result of Prochno and Schütt.
LA - eng
KW - subspace of ; unconditional basis; -convexity; -concavity
UR - http://eudml.org/doc/285801
ER -
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