An application of the generalized Maligranda–Orlicz's Lemma.

Castillo, René Erlín; Trousselot, Eduard

Displaying similar documents to “An application of the generalized Maligranda–Orlicz's Lemma.”

On estimates of normal structure coefficients of Banach spaces.

Yan, Y.Q. (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Reverse triangle inequality in Hilbert $C^{*}$ -modules.

Khosravi, Maryam, Mahyar, Hakimeh, Moslehian, Mohammad Sal (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Characterization of intermediate values of the triangle inequality II

Hiroki Sano, Tamotsu Izumida, Ken-Ichi Mitani, Tomoyoshi Ohwada, Kichi-Suke Saito (2014)

Open Mathematics

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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.