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A universal modulus for normed spaces

100%

Benítez C., Przesławski K., Yost D.

Studia Mathematica

1998

tom 127

nr 1

21-46

We define a handy new modulus for normed spaces. More precisely, given any normed space X, we define in a canonical way a function ξ:[0,1)→ ℝ which depends only on the two-dimensional subspaces of X. We show that this function is strictly increasing and convex, and that its behaviour is intimately connected with the geometry of X. In particular, ξ tells us whether or not X is uniformly smooth, uniformly convex, uniformly non-square or an inner product space.

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$L_1$ contains every two-dimensional normed space

86%

Yost D.

Annales Polonici Mathematici

1988-1989

tom 49

nr 1

17-19

Banach spaces isomorphic to proper M-ideals

62%

Yost D.

Colloquium Mathematicum

1988

tom 56

nr 1

99-106

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

1 Studia Mathematica

3 Yost D.

1 Benítez C.

1 Przesławski K.

1 1998

2 1988

Wyniki wyszukiwania

A universal modulus for normed spaces

$L_1$ contains every two-dimensional normed space

Banach spaces isomorphic to proper M-ideals