NORMED VECTOR SPACES

The concepts elaborated in the form of definitions, examples and properties of a normed space and the functions defined on such spaces are discussed in this chapter. The notion of the norm of a vector is a generalization of the notion of length and it obeys some simple and natural geometric principles.
A vector space together with the norm defined for its elements is called a normed space. Mappings defined on an normed space into another normed space are called operators or transformationsو normed space and the functions defined on such spaces are discussed this chapter. The notion of the norm of a vector is a generalization of the
notion of length and it obeys some simple and natural geometric principles.
A vector space together with the norm defined for its elements is called a
normed space. some simple and natural geometric principles. A vector space together with the norm defined for its elements is called a
nOr/ned space.A vector space together with the norm defined for its elements is called a normed space. Mappings defined on an normed space into another normed space are called operators or transformationsو normed space and the functions defined on such spaces are discussed this chapter. The notion of the norm of a vector is a generalization of the
notion of length and it obeys some simple and natural geometric principles