Innerproduct Hyperspaces

2010/09/17 by Sanjay Roy, Roy, Sanjay, T. K. Samanta +1
Mathematics · #46C50 #54B20 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:46C50 #msc:54B20

paper · pdf · doi:10.48550/arxiv.1009.3483

12 pages

arxiv created 2011/06/05 · arxiv updated 2011/06/07

Abstract

The main purpose of this paper is to generalize and develop a few basic properties of the innerproduct space on a hypervector space. On this hypervector space we define the norm. Also we establish a important relation between normed hyperspaces and innerproduct hyperspaces.

Related

• Hyper innerproduct spaces II
• Hyperinner product spaces
• A Note on Hypervector Spaces
• Characterizing of Inner Product Spaces by the Mapping n_x,y
• A characterisation of inner product spaces by the maximal circumradius of spheres