Spaces with maximal projection constants

Hermann König, and Nicole Tomczak-Jaegermann. "Spaces with maximal projection constants." Studia Mathematica 159.3 (2003): 357-372. <http://eudml.org/doc/285311>.

@article{HermannKönig2003,
abstract = {We show that n-dimensional spaces with maximal projection constants exist not only as subspaces of $l_\{∞\}$ but also as subspaces of l₁. They are characterized by a rigid set of vector conditions. Nevertheless, we show that, in general, there are many non-isometric spaces with maximal projection constants. Several examples are discussed in detail.},
author = {Hermann König, Nicole Tomczak-Jaegermann},
journal = {Studia Mathematica},
keywords = {projection constants; maximal projection constants; finite dimensional Banach spaces},
language = {eng},
number = {3},
pages = {357-372},
title = {Spaces with maximal projection constants},
url = {http://eudml.org/doc/285311},
volume = {159},
year = {2003},
}

TY - JOUR
AU - Hermann König
AU - Nicole Tomczak-Jaegermann
TI - Spaces with maximal projection constants
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 3
SP - 357
EP - 372
AB - We show that n-dimensional spaces with maximal projection constants exist not only as subspaces of $l_{∞}$ but also as subspaces of l₁. They are characterized by a rigid set of vector conditions. Nevertheless, we show that, in general, there are many non-isometric spaces with maximal projection constants. Several examples are discussed in detail.
LA - eng
KW - projection constants; maximal projection constants; finite dimensional Banach spaces
UR - http://eudml.org/doc/285311
ER -