Before revision: We derive abstract as well as deterministic conditions for the absence and existence of arbitrage and financial bubbles in a general (multi- and infinite-dimensional) semimartingale-diffusion markets, and a Heath-Jarrow-Morton-Musiela framework. We also provide deterministic conditions for the martingale property of stochastic exponentials which are driven by solution to generalized martingale problems, respectively stochastic partial differential equations .
After revision: We derive abstract as well as deterministic conditions for the existence of equivalent (local) martingale measures in terms of existence and uniqueness properties of martingale problems. Based on these we derive deterministic criteria for the existence and non-existence of equivalent (local) martingale measures .