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Compact widths in metric trees

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Aksoy A., Kinneberg K.

Banach Center Publications

2011

tom 92

nr 1

15-25

The definition of n-width of a bounded subset A in a normed linear space X is based on the existence of n-dimensional subspaces. Although the concept of an n-dimensional subspace is not available for metric trees, in this paper, using the properties of convex and compact subsets, we present a notion of n-widths for a metric tree, called Tn-widths. Later we discuss properties of Tn-widths, and show that the compact width is attained. A relationship between the compact widths and Tn-widths is also obtained.

Ograniczanie wyników

1 Banach Center Publications

1 Aksoy A.

1 Kinneberg K.

1 2011

Wyniki wyszukiwania

Compact widths in metric trees