The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Norms in product spaces which preserve approximation properties.”

Functional characterization of best and good approximation in normed product spaces.

Carlos Benítez, Manuel Fernández (1987)

Extracta Mathematicae

Similarity:

In [6], C. Dierick deals with a small but important collection of norms in the product of a finite number of normed linear spaces and he extends to such products some results on functional characterization of best approximations. In this paper we establish the widest scope in which the mentioned results remain valid.

Smith's counterexample about uniform rotundity in every direction.

Manuel Fernández, Isidro Palacios (2000)

Extracta Mathematicae

Similarity:

It is an open question when the direct sum of normed spaces inherits uniform rotundity in every direction from the factor spaces. M. Smith [4] showed that, in general, the answer is negative. The purpose of this paper is to carry out a complete study of Smith's counterexample.