On bounded n-linear operators

Meitei, S. Romen; Singh, M.P.

doi:10.28919/jmcs/3446

J. Math. Comput. Sci. 8 (2018), 196–215

On bounded n-linear operators

S. Romen Meitei, M.P. Singh

PDF (161.9 KB) https://doi.org/10.28919/jmcs/3446

Abstract

In this paper, the various concepts of bounded and continuous n-linear operators in normed spaces as well as in n-normed spaces are discussed. A sufficient condition for the space of n-linear operators to be a Banach space is given.Further, we prove the equality of two different formulae of norms of an n-linear operator .Also we introduce an n-norm on the dual space of a real linear space.

Published: 1 March 2018
Volume: 8 (2018)
License: CC BY 3.0

Copyright © 2018 S. Romen Meitei, M.P. Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. R. Meitei, M. P. Singh, On bounded n-linear operators, J. Math. Comput. Sci. 8 (2018), 196–215. https://doi.org/10.28919/jmcs/3446

BibTeX

@article{Meitei2018,
  author  = {Meitei, S. Romen and Singh, M.P.},
  title   = {On bounded n-linear operators},
  journal = {J. Math. Comput. Sci.},
  volume  = {8},
  year    = {2018},
  pages   = {196--215},
  doi     = {10.28919/jmcs/3446}
}