1971
DOI: 10.4064/sm-39-1-59-76
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Polynomials and multilinear mappings in topological vector-spaces

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Cited by 103 publications
(88 citation statements)
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“…The above inequality was shown by Lojasiewicz (see [6]), and an alternative proof can be found in Nesterov and Nemirovski [43]. Yet, it also follows from Corollary 4.2 by setting A = G T G.…”
Section: If F ∈ ℜ M D Is a D-th Order Super-symmetric Tensor With Fmentioning
confidence: 66%
“…The above inequality was shown by Lojasiewicz (see [6]), and an alternative proof can be found in Nesterov and Nemirovski [43]. Yet, it also follows from Corollary 4.2 by setting A = G T G.…”
Section: If F ∈ ℜ M D Is a D-th Order Super-symmetric Tensor With Fmentioning
confidence: 66%
“…(2) In general, the Lie algebra encountered in the Milnor-Moore Theorem is not the full Lie algebra of infinitesimal characters (a fact which is somewhat opaque in [10]). This is due to the fact that one needs to take the restricted dual, i.e.…”
Section: B) Hence As Locally Convex Spaces L(g(h B)) = T 1 a (G(hmentioning
confidence: 99%
“…While it is not hard to see that every C 1 -homomorphism between smooth Lie groups modelled on real locally convex spaces is automatically smooth [13], such a result is not available here. 4 It is therefore necessary to prove by hand that every one-parameter group Z p → G is C k…”
Section: L3mentioning
confidence: 99%