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Compact Lie groups and factor spaces with respect to tori

✍ Scribed by A. N. Shchetinin

Publisher
SP MAIK Nauka/Interperiodica
Year
1993
Tongue
English
Weight
498 KB
Volume
54
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES

Fourier type 2 operators with respect to
Fourier type 2 operators with respect to locally compact abelian groups
✍ Aicke Hinrichs; Mariusz Piotrowski πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 121 KB

## Abstract A linear and bounded operator __T__ between Banach spaces __X__ and __Y__ has Fourier type 2 with respect to a locally compact abelian group __G__ if there exists a constant __c__ > 0 such thatβˆ₯__T__$\hat f$βˆ₯~2~ ≀ __c__βˆ₯__f__βˆ₯~2~ holds for all __X__‐valued functions __f__ ∈ __L__^__X__^

On completions of topological groups wit
On completions of topological groups with respect to the maximal uniform structure and factorization of uniform homomorphisms with respect to uniform weight and dimension
✍ Altay A. Borubaev; Asylbek A. Chekeev πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 139 KB

A necessary and sufficient condition for completibility of topological groups with respect to the maximal uniform structure and the class of topological groups with the above-mentioned property are found. Results similar to factorization for continuous homomorphisms of R-factorizable uniform groups