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A theorem on critical points and global asymptotic stability

✍ Scribed by R.H Martin Jr.


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
302 KB
Volume
33
Category
Article
ISSN
0022-247X

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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