Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis

Rychter, Jan. "Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis." Serdica Mathematical Journal 26.4 (2000): 353-358. <http://eudml.org/doc/11498>.

@article{Rychter2000,
abstract = {*Supported in part by GAˇ CR 201-98-1449 and AV 101 9003. This paper is based on a part of the author’s MSc thesis written under the supervison of Professor V. Zizler.It is shown that a Banach space X admits an equivalent uniformly Gateaux differentiable norm if it has an unconditional basis and X* admits an equivalent norm which is uniformly rotund in every direction.},
author = {Rychter, Jan},
journal = {Serdica Mathematical Journal},
keywords = {Unconditional Basis; Uniformly Gateaux Smooth Norms; Uniform Eberlein Compacts; Uniform Rotundity In Every Direction; unconditional basis; uniformly Gâteaux smooth norms; uniform Eberlein compacts; uniform rotundity in every direction},
language = {eng},
number = {4},
pages = {353-358},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis},
url = {http://eudml.org/doc/11498},
volume = {26},
year = {2000},
}

TY - JOUR
AU - Rychter, Jan
TI - Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis
JO - Serdica Mathematical Journal
PY - 2000
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 26
IS - 4
SP - 353
EP - 358
AB - *Supported in part by GAˇ CR 201-98-1449 and AV 101 9003. This paper is based on a part of the author’s MSc thesis written under the supervison of Professor V. Zizler.It is shown that a Banach space X admits an equivalent uniformly Gateaux differentiable norm if it has an unconditional basis and X* admits an equivalent norm which is uniformly rotund in every direction.
LA - eng
KW - Unconditional Basis; Uniformly Gateaux Smooth Norms; Uniform Eberlein Compacts; Uniform Rotundity In Every Direction; unconditional basis; uniformly Gâteaux smooth norms; uniform Eberlein compacts; uniform rotundity in every direction
UR - http://eudml.org/doc/11498
ER -