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Prehomogeneous Vector Spaces and Ergodic Theory III

✍ Scribed by Akihiko Yukie

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
398 KB
Volume
70
Category
Article
ISSN
0022-314X

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## Abstract Let __E__ be a Banach space and Ξ¦ : __E__ β†’ ℝ a π’ž^1^‐functional. Let 𝒫 be a family of semi‐norms on __E__ which separates points and generates a (possibly non‐metrizable) topology 𝒯~𝒫~ on __E__ weaker than the norm topology. This is a special case of a gage space, that is, a topological