✦ LIBER ✦

Relating a Locally Compact Abelian Group to Its Bohr Compactification

✍ Scribed by W.W. Comfort; Salvador Hernández; F.Javier Trigos-Arrieta

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 923 KB
Volume: 120
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1996.0042

No coin nor oath required. For personal study only.

✦ Synopsis

We find several conditions on a locally compact Abelian group G necessary and sufficient that G + , the group G in the topology inherited from its Bohr compactification, is realcompact. We show further for such G that every continuous real-valued function from a closed subgroup of G + extends continuously over G + ; when in addition G is discrete, every continuous function from a subgroup of G + to a complete metric space extends continuously over G + . These results respond to several of the questions posed by E. K. van Douwen [Topology and Its Applications 34 (1990), 69 91].

📜 SIMILAR VOLUMES

A probabilistic approach to the duality

A probabilistic approach to the duality of locally compact abelian groups

✍ K. R. Parthasarathy 📂 Article 📅 1972 🏛 Springer Netherlands 🌐 English ⚖ 273 KB

Operators of Fourier typepwith respect t

Operators of Fourier typepwith respect to some subgroups of a locally compact Abelian group

✍ Changsun Choi; Hun Hee Lee 📂 Article 📅 2003 🏛 Springer 🌐 English ⚖ 169 KB

Local Topological Structure in the LUC-C

Local Topological Structure in the LUC-Compactification of a Locally Compact Group and its Relationship with Veech's Theorem

✍ Talin Budak; John Pym 📂 Article 📅 2006 🏛 Springer 🌐 English ⚖ 424 KB

Weakly compact multipliers on Banach alg

Weakly compact multipliers on Banach algebras related to a locally compact group

✍ M. J. Mehdipour; R. Nasr-Isfahani 📂 Article 📅 2010 🏛 Akadmiai Kiad 🌐 English ⚖ 247 KB

Local conditional expectations and an ap

Local conditional expectations and an application to a central limit theorem on a locally compact abelian group

✍ Michael S. Bingham 📂 Article 📅 1987 🏛 Springer-Verlag 🌐 French ⚖ 514 KB

Measures on locally compact abelian grou

Measures on locally compact abelian groups, whose n-fold convolutions are determined by the restrictions to a massive set

✍ A. M. Ulanovskii 📂 Article 📅 1994 🏛 Springer US 🌐 English ⚖ 376 KB