Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 5

Quasinormability and diametral dimension

Pages
847–851
DOI
—

Abstract

Two versions of diametral dimension are shown to coincide for quasinormable Fréchet spaces. The diametral dimension is determined by a single bounded subset in certain cases.

Özet

Two versions of diametral dimension are shown to coincide for quasinormable Fréchet spaces. The diametral dimension is determined by a single bounded subset in certain cases.

Keywords: Diametral dimension, Fréchet spaces, Köthe spaces