# Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis

Serdica Mathematical Journal (2000)

- Volume: 26, Issue: 4, page 353-358
- ISSN: 1310-6600

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topRychter, 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 -

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