Uniqueness of generating Hamiltonians for topological Hamiltonian flows

preprint2013arXivOpen access

Abstract

We prove that a topological Hamiltonian flow as defined by Oh and Muller, has a unique L(1,∞)L^{(1,\infty)} generating topological Hamiltonian function. This answers a question raised by Oh and Muller, and improves a previous result of Viterbo.

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