✦ LIBER ✦

On dense subspaces of generalized ordered spaces

✍ Scribed by Harold R. Bennett; David J. Lutzer; Steven D. Purisch

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 138 KB
Volume: 93
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00266-6

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we study four properties related to the existence of a dense metrizable subspace of a generalized ordered (GO) space. Three of the properties are classical, and one is recent. We give new characterizations of GO-spaces that have dense metrizable subspaces, investigate which GO-spaces can embed in GO-spaces with one of the four properties, and provide examples showing the relationships between the four properties.

📜 SIMILAR VOLUMES

Dense subspaces of quasinormable spaces

✍ José Bonet; Susanne Dierolf; Khin Aye Aye 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 120 KB

## Abstract Dense linear subspaces of quasinormable Fréchet spaces need not be quasinormable, as an example due to J. Bonet and S. Dierolf proved. A characterization of the quasinormability of dense linear subspaces of quasinormable locally convex spaces and several consequences are given. Moreover

Dense subspaces of some spaces of contin

Dense subspaces of some spaces of continuous functions

✍ W. W. Comfort; Anthony W. Hager 📂 Article 📅 1970 🏛 Springer-Verlag 🌐 French ⚖ 898 KB

On some dense compact operator range sub

On some dense compact operator range subspaces in separable Fréchet spaces

✍ J. Kąkol 📂 Article 📅 1990 🏛 Akadmiai Kiad 🌐 English ⚖ 178 KB

Operators dense embedding and quasicompl

Operators dense embedding and quasicomplements of subspaces of Banach spaces

✍ V. Fonf; V. Shevchik 📂 Article 📅 1994 🏛 Springer 🌐 English ⚖ 341 KB

Continuous images of everywhere dense su

Continuous images of everywhere dense subspaces of ∑-products of compact spaces

✍ M. G. Tkachenko 📂 Article 📅 1983 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 643 KB

On subspaces of nuclear spaces

✍ M. M. Dragilev 📂 Article 📅 1996 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 492 KB