Non-Archimedean K-spaces

Albert Kubzdela. "Non-Archimedean K-spaces." Banach Center Publications 68.1 (2005): 87-93. <http://eudml.org/doc/282244>.

@article{AlbertKubzdela2005,
abstract = {We study Banach spaces over a non-spherically complete non-Archimedean valued field K. We prove that a non-Archimedean Banach space over K which contains a linearly homeomorphic copy of $l^\{∞\}$ (hence $l^\{∞\}$ itself) is not a K-space. We discuss the three-space problem for a few properties of non-Archimedean Banach spaces.},
author = {Albert Kubzdela},
journal = {Banach Center Publications},
keywords = {non-Archimedean Banach spaces; -spaces; three-space property},
language = {eng},
number = {1},
pages = {87-93},
title = {Non-Archimedean K-spaces},
url = {http://eudml.org/doc/282244},
volume = {68},
year = {2005},
}

TY - JOUR
AU - Albert Kubzdela
TI - Non-Archimedean K-spaces
JO - Banach Center Publications
PY - 2005
VL - 68
IS - 1
SP - 87
EP - 93
AB - We study Banach spaces over a non-spherically complete non-Archimedean valued field K. We prove that a non-Archimedean Banach space over K which contains a linearly homeomorphic copy of $l^{∞}$ (hence $l^{∞}$ itself) is not a K-space. We discuss the three-space problem for a few properties of non-Archimedean Banach spaces.
LA - eng
KW - non-Archimedean Banach spaces; -spaces; three-space property
UR - http://eudml.org/doc/282244
ER -