Uniqueness of $L^{(1,\infty )}$-Hamiltonians and almost-every-moment Lagrangian disjunction

Abstract

This paper is withdrawn by the author due to a critical error in the proof of the main theorem, Theorem 3.10. (More specifically the identity (5.18) is incorrect in that the $T^{\ast }{S}^1(2)$-factor is missing in the right hand side of the equality.) Therefore the uniquenss question for $L^{(1,\infty )}$-case is still open.

This paper has been withdrawn. Proofs of Lemma 4.4 and Proposition 4.7 have been moved to the revised version of math.SG/0612795

References in corpus (2)

• On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows
• Locality of continuous Hamiltonian flows and Lagrangian intersections with the conormal of open subsets