STRUCTURAL PROPERTIES OF MININORMED EUCLIDEAN SPACES
- Melna Frincy1, a) and J.R.V. Edward2, b)
1 Research Scholar, Scott Christian College Nagercoil-629003, Tanil Nadu, India, Affliated to Manonmanium Sundaranar University, Abishekapati, Thirunelveli – 627012, TamilNadu, India.
2 Department of Mathematics
Scott Christian College, Nagercoil – 629003, Tamil Nadu, India, Affliated to Manonmanium Sundaranar University, Abishekapati, Thirunelveli – 627012, TamilNadu, India.
Abstract. A mininorm on a vector function and field as , such that is a function from to satisfying the properties of a norm || || with the property , , replaced by the following property
There are several mininorms on the Euclidean spaces . One such mininorm is the Hamming weight function. In this paper, we discuss certain basic properties of Euclidean spaces with the Hamming mininorm and also some structural properties of these spaces.
Mathematics Subject Classification 2010: 90B06
Keywords: mininormed Euclidean space, Hamming weight, Vector space, Banach space