Upper estimates on self-perimeters of unit circles for gauges

Horst Martini; Anatoliy Shcherba

Displaying similar documents to “Upper estimates on self-perimeters of unit circles for gauges”

A new type of orthogonality for normed planes

Horst Martini, Margarita Spirova (2010)

Czechoslovak Mathematical Journal

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In this paper we introduce a new type of orthogonality for real normed planes which coincides with usual orthogonality in the Euclidean situation. With the help of this type of orthogonality we derive several characterizations of the Euclidean plane among all normed planes, all of them yielding also characteristic properties of inner product spaces among real normed linear spaces of dimensions $d \geq 3$ .