A Natural Class of Sequential Banach Spaces

• Autorzy: Jarno Talponen
• Języki publikacji: EN

Abstrakty

EN

We introduce and study a natural class of variable exponent $ℓ^{p}$ spaces, which generalizes the classical spaces $ℓ^{p}$ and c₀. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. Some geometric examples are constructed by using these spaces.

Kategorie tematyczne

• 46A35: Summability and bases
• 46B20: Geometry and structure of normed linear spaces
• 46B45: Banach sequence spaces
• 46B15: Summability and bases

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: 59
• Numer: 2
• Strony: 185-196

Daty

wydano

2011

Twórcy

autor

Jarno Talponen

• Aalto University, Mathematics, P.O. Box 11100, FI-00076 Aalto, Finland

Identyfikatory

DOI

10.4064/ba59-2-8