# A Note on Preserved Smoothness

Serdica Mathematical Journal (1996)

- Volume: 22, Issue: 1, page 29-32
- ISSN: 1310-6600

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topTang, Wee-Kee. "A Note on Preserved Smoothness." Serdica Mathematical Journal 22.1 (1996): 29-32. <http://eudml.org/doc/11626>.

@article{Tang1996,

abstract = {* Supported by NSERC (Canada)Let X be a Banach space equipped with norm || · ||. We say that || · || is Gâteaux
differentiable at x if for every h ∈ SX(|| · ||),
(∗) lim t→0 (||x + th|| − ||x||) / t exists.
We say that the norm || · || is Gâteaux differentiable if || · || is Gâteaux differentiable
at all x ∈ SX(|| · ||).},

author = {Tang, Wee-Kee},

journal = {Serdica Mathematical Journal},

keywords = {Renormings; Gâteaux Differentiability; Octahedral Norms; separable Banach space; isomorphic copy of ; Gâteaux differentiable LUR norm},

language = {eng},

number = {1},

pages = {29-32},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {A Note on Preserved Smoothness},

url = {http://eudml.org/doc/11626},

volume = {22},

year = {1996},

}

TY - JOUR

AU - Tang, Wee-Kee

TI - A Note on Preserved Smoothness

JO - Serdica Mathematical Journal

PY - 1996

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 22

IS - 1

SP - 29

EP - 32

AB - * Supported by NSERC (Canada)Let X be a Banach space equipped with norm || · ||. We say that || · || is Gâteaux
differentiable at x if for every h ∈ SX(|| · ||),
(∗) lim t→0 (||x + th|| − ||x||) / t exists.
We say that the norm || · || is Gâteaux differentiable if || · || is Gâteaux differentiable
at all x ∈ SX(|| · ||).

LA - eng

KW - Renormings; Gâteaux Differentiability; Octahedral Norms; separable Banach space; isomorphic copy of ; Gâteaux differentiable LUR norm

UR - http://eudml.org/doc/11626

ER -

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