The n-dual space of the space of p-summable sequences

Title:

The n-dual space of the space of p-summable sequences

Creator:

Pangalela, Yosafat E. P. and Gunawan, Hendra

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:aa82fd32-ee22-491c-8434-5a2679bf45b6
uuid:aa82fd32-ee22-491c-8434-5a2679bf45b6
doi:10.21136/MB.2013.143516

Subject:

ℓ p space, n-normed space, and n-dual space

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In the theory of normed spaces, we have the concept of bounded linear functionals and dual spaces. Now, given an n-normed space, we are interested in bounded multilinear n-functionals and n-dual spaces. The concept of bounded multilinear n-functionals on an n-normed space was initially intoduced by White (1969), and studied further by Batkunde et al., and Gozali et al. (2010). In this paper, we revisit the definition of bounded multilinear n-functionals, introduce the concept of n-dual spaces, and then determine the n-dual spaces of ℓ p spaces, when these spaces are not only equipped with the usual norm but also with some n-norms.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

439-448

Source:

Mathematica bohemica | 2013 Volume:138 | Number:4

Harvested from:

CDK

Metadata only:

false