Characterization of intermediate values of the triangle inequality II

• Autorzy: Hiroki Sano , Tamotsu Izumida , Ken-Ichi Mitani , Tomoyoshi Ohwada , Kichi-Suke Saito
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Triangle inequalities; Strictly convex Banach spaces; Norm inequality

Kategorie tematyczne

• 46B99: None of the above, but in this section
• 46B20: Geometry and structure of normed linear spaces
• 26D20: Other analytical inequalities

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 5
• Strony: 778-786

Daty

wydano

2014-05-01

online

2014-02-15

Twórcy

autor

Hiroki Sano

• Shizuoka University,

autor

Tamotsu Izumida

• Niigata University,

autor

Ken-Ichi Mitani

• Okayama Prefectural University,

autor

Tomoyoshi Ohwada

• Shizuoka University,

autor

Kichi-Suke Saito

• Niigata University,

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0369-7