The aim of this paper is to prove the following result: if X is a 2-dimensional symmetric real Banach space, then its self-length is greater than or equal to 2π. Moreover, the minimum value 2π is uniquely attained (up to isometries) by euclidean space.

On the self-length of two-dimensional Banach spaces

GIAQUINTA, Mariano
1996

Abstract

The aim of this paper is to prove the following result: if X is a 2-dimensional symmetric real Banach space, then its self-length is greater than or equal to 2π. Moreover, the minimum value 2π is uniquely attained (up to isometries) by euclidean space.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/5957
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