Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483504 | Journal of the Egyptian Mathematical Society | 2016 | 6 Pages |
Abstract
In this paper, we wish to define a 2-inner product, non-standard, possibly with weights, on ℓp. For this purpose, we aim to obtain a different 2-norm ‖., .‖2,v,w, which is not equivalent to the usual 2-norm ‖., .‖p on ℓp (except with the condition p=2p=2), satisfying the parallelogram law. We discuss the properties of the induced 2-norm ‖., .‖2,v,w and its relationships with the usual 2-norm on ℓp. We also find that the 2-inner product ⟨., .|.⟩v,w is actually defined on a larger space.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Şükran Konca, Mochammad Idris, Hendra Gunawan,