On equivalent strictly G-convex renormings of Banach spaces
Open Mathematics (2010)
- Volume: 8, Issue: 5, page 871-877
- ISSN: 2391-5455
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topNataliia Boyko. "On equivalent strictly G-convex renormings of Banach spaces." Open Mathematics 8.5 (2010): 871-877. <http://eudml.org/doc/269086>.
@article{NataliiaBoyko2010,
abstract = {We study strictly G-convex renormings and extensions of strictly G-convex norms on Banach spaces. We prove that ℓω(Γ) space cannot be strictly G-convex renormed given Γ is uncountable and G is bounded and separable.},
author = {Nataliia Boyko},
journal = {Open Mathematics},
keywords = {Strict convexity; Complex uniform convexity; Strict G-convexity; strict convexity; complex uniform convexity; strict -convexity},
language = {eng},
number = {5},
pages = {871-877},
title = {On equivalent strictly G-convex renormings of Banach spaces},
url = {http://eudml.org/doc/269086},
volume = {8},
year = {2010},
}
TY - JOUR
AU - Nataliia Boyko
TI - On equivalent strictly G-convex renormings of Banach spaces
JO - Open Mathematics
PY - 2010
VL - 8
IS - 5
SP - 871
EP - 877
AB - We study strictly G-convex renormings and extensions of strictly G-convex norms on Banach spaces. We prove that ℓω(Γ) space cannot be strictly G-convex renormed given Γ is uncountable and G is bounded and separable.
LA - eng
KW - Strict convexity; Complex uniform convexity; Strict G-convexity; strict convexity; complex uniform convexity; strict -convexity
UR - http://eudml.org/doc/269086
ER -
References
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- [2] Boyko N., Kadets V., Uniform G-convexity for vector-valued L p spaces, Serdica Math. J., 2009, 35, 1–14 Zbl1224.46020
- [3] Conway J.B., A Course in Functional Analysis, 2nd ed., Graduate Texts in Mathematics, 96, Springer, New York, 1990 Zbl0706.46003
- [4] Diestel J., Geometry of Banach Spaces - Selected Topics, Lecture Notes in Mathematics, 485, Springer, New York, 1975 Zbl0307.46009
- [5] Kadets V.M., A Course in Functional Analysis. Textbook for students of mechanics and mathematics, Kharkov State University, Kharkov, 2006, (in Russian) Zbl1128.46001
- [6] Tang W.-K., On the extension of rotund norms, Manuscripta Math., 1996, 91(1), 73–82 http://dx.doi.org/10.1007/BF02567940 Zbl0868.46012
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