On duality mapping and canonical isometry of a normed space | Zendy

Pavle Milicic | Zendy

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On duality mapping and canonical isometry of a normed space

Author(s) -

Pavle Milicic

Publication year - 2004

Publication title -

publikacija elektrotehnickog fakulteta - serija matematika

Language(s) - English

Resource type - Journals

eISSN - 2406-0852

pISSN - 0353-8893

DOI - 10.2298/petf0415086m

Subject(s) - parallelogram , isometry (riemannian geometry) , normed vector space , banach space , mathematics , parallelepiped , duality (order theory) , bijection, injection and surjection , regular polygon , dual space , space (punctuation) , dual (grammatical number) , pure mathematics , combinatorics , mathematical analysis , geometry , bijection , physics , computer science , art , hinge , literature , classical mechanics , operating system

In a real Banach space, which is uniformly convex, the dual mapping J and canonical mapping J conserve: the angles between vectors x and y, the area of the parallelogram constructed on vectors x and y and the volume of the parallelepiped constructed on vectors x, y and z.

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