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

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Kato M., Maligranda L., Takahashi Y.

Studia Mathematica

2001

tom 144

nr 3

275-295

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.

Ograniczanie wyników

1 Studia Mathematica

1 Kato M.

1 Maligranda L.

1 Takahashi Y.

1 2001

Wyniki wyszukiwania

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