On James and Jordan-von Neumann constants and the normal structure coefficient of Banach spaces

• Autorzy: Mikio Kato , Lech Maligranda , Yasuji Takahashi
• Języki publikacji: EN

Abstrakty

EN

Some relations between the James (or non-square) constant J(X) and the Jordan-von Neumann constant $C_{NJ}(X)$, and the normal structure coefficient N(X) of Banach spaces X are investigated. Relations between J(X) and J(X*) are given as an answer to a problem of Gao and Lau [16]. Connections between $C_{NJ}(X)$ and J(X) are also shown. The normal structure coefficient of a Banach space is estimated by the $C_{NJ}(X)$-constant, which implies that a Banach space with $C_{NJ}(X)$-constant less than 5/4 has the fixed point property.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46B20: Geometry and structure of normed linear spaces
• 46A45: Sequence spaces (including K\"othe sequence spaces)
• 46B25: Classical Banach spaces in the general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 144
• Numer: 3
• Strony: 275-295

Daty

wydano

2001

Twórcy

autor

Mikio Kato

• Department of Mathematics, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan

autor

Lech Maligranda

• Department of Mathematics, Luleå University of Technology, S-971 87 Luleå, Sweden

autor

Yasuji Takahashi

• Department of System Engineering, Okayama Prefectural University, Soja 719-1197, Japan

Identyfikatory

DOI

10.4064/sm144-3-5