Norms on Quotient Spaces

Best Coapproximation in Quotient Spaces

As a counterpart to best approximation, a new kind of approximation, called best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi. In this paper, we use this coapproximation to prove some results on the existence and uniqueness of best coapproximation in quotient spaces when the underlying spaces are metric linear spaces. We shall also see how coproximinality ...

ε-weakly Chebyshev subspaces and quotient spaces

A comparative study of fuzzy norms of linear operators on a fuzzy normed linear spaces

In the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. Then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.

Democratic Urban Streets Design Guideline Codifications (Based on Qualitative Democratic Urban Spaces Design Norms)

Almost Transitive and Maximal Norms in Banach Spaces

We prove that the spaces `p, 1 < p < ∞, p 6= 2, and all infinite-dimensional subspaces of their quotient spaces do not admit equivalent almosttransitive renormings. This answers a problem posed by Deville, Godefroyand Zizler in 1993. We obtain this as a consequence of a new property ofalmost transitive spaces with a Schauder basis, namely we prove that in suchspaces the unit...