Some properties of the superior and inferior semi inner product function associated to the 2-norm | Zendy

Stela Çeno | Zendy

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Some properties of the superior and inferior semi inner product function associated to the 2-norm

Author(s) -

Stela Çeno

Publication year - 2016

Publication title -

journal of advances in mathematics

Language(s) - English

Resource type - Journals

ISSN - 2347-1921

DOI - 10.24297/jam.v12i5.322

Subject(s) - mathematics , norm (philosophy) , scalar (mathematics) , dual norm , inner product space , normed vector space , pure mathematics , product (mathematics) , geometry , political science , law

Special properties that the scalar product enjoys and its close link with the norm function have raised the interest of researchers from a very long period of time. S.S. Dragomir presents concrete generalizations of the scalar product functions in a normed space and deals with the interesting properties of them. Based on S.S. Dragomirs idea in this paper we treat generalizations of superior and inferior scalar product functions in the case of semi-normed spaces and 2-normed spaces.

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