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Characterization of intermediate values of the triangle inequality II

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Sano H., Izumida T., Mitani K.-I., Ohwada T., Saito K.-S.

Open Mathematics

2014

tom 12

nr 5

778-786

In [Mineno K., Nakamura Y., Ohwada T., Characterization of the intermediate values of the triangle inequality, Math. Inequal. Appl., 2012, 15(4), 1019–1035] there was established a norm inequality which characterizes all intermediate values of the triangle inequality, i.e. C n that satisfy 0 ≤ C n ≤ Σj=1n ‖x j‖ − ‖Σj=1n x j‖, x 1,...,x n ∈ X. Here we study when this norm inequality attains equality in strictly convex Banach spaces.

Ograniczanie wyników

1 Open Mathematics

1 Izumida T.

1 Mitani K.-I.

1 Ohwada T.

1 Saito K.-S.

1 Sano H.

1 2014

Wyniki wyszukiwania

Characterization of intermediate values of the triangle inequality II