On equivalent strictly G-convex renormings of Banach spaces

• Autorzy: Nataliia Boyko
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Strict convexity; Complex uniform convexity; Strict G-convexity

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 5
• Strony: 871-877

Daty

wydano

2010-10-01

online

2010-09-28

Twórcy

autor

Nataliia Boyko

• Kharkov National University

Bibliografia

• [1] Boyko N., On arrangement of operators coefficients of series member, Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh., 2008, 826(58), 197–210, (in Russian)
• [2] Boyko N., Kadets V., Uniform G-convexity for vector-valued L p spaces, Serdica Math. J., 2009, 35, 1–14
• [3] Conway J.B., A Course in Functional Analysis, 2nd ed., Graduate Texts in Mathematics, 96, Springer, New York, 1990
• [4] Diestel J., Geometry of Banach Spaces - Selected Topics, Lecture Notes in Mathematics, 485, Springer, New York, 1975
• [5] Kadets V.M., A Course in Functional Analysis. Textbook for students of mechanics and mathematics, Kharkov State University, Kharkov, 2006, (in Russian)
• [6] Tang W.-K., On the extension of rotund norms, Manuscripta Math., 1996, 91(1), 73–82 http://dx.doi.org/10.1007/BF02567940

Identyfikatory

DOI

10.2478/s11533-010-0050-3