✦ LIBER ✦

On discrete subspaces of product spaces

✍ Scribed by A. Hajnal; I. Juhász

Publisher: Elsevier Science
Year: 1972
Weight: 837 KB
Volume: 2
Category: Article
ISSN: 0016-660X
DOI: 10.1016/0016-660x(72)90030-x

No coin nor oath required. For personal study only.

✦ Synopsis

The aim of this paper is to evah#atc3 the spread Df B product with tile; 1lelp of &a spreads of its factors and their number. The main resu& says thai 3 finitely many 'I; spaces are such that none of them contains a discrete suuspace of power >P, then thek, ppuduct Cotis not mntain a discrete subspace ofpower Xac. 1 AMS Subj. Class.:

📜 SIMILAR VOLUMES

On Quasi-Chebyshev Subspaces of Banach S

On Quasi-Chebyshev Subspaces of Banach Spaces

✍ H. Mohebi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 125 KB

Invariant Subspaces of Operators on lp-S

Invariant Subspaces of Operators on lp-Spaces

✍ Y.A. Abramovich; C.D. Aliprantis; O. Burkinshaw 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 240 KB

On pseudo-complemented subspaces of Bana

On pseudo-complemented subspaces of Banach spaces

✍ Ivan Singer 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 600 KB

On spaces with large Chebyshev subspaces

✍ Gerhard Gierz; Boris Shekhtman 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 314 KB

Central Subspaces of Banach Spaces

✍ Pradipta Bandyopadhyay; T.S.S.R.K. Rao 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 194 KB

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