We prove the existence of an equilibrium in an economy with a measure space of agents and a separable Banach commodity space whose positive cone admits an interior point. We follow the truncation argument given at the end of Yannelis [Yannelis, N.C., 1987. Equilibria in noncooperative models of competition, J. Econ. Theory 41, 96–111] and the abstract economy approach as in Shafer [Shafer, W., ...

The findings presented in the article by Khan et al. (1) are very similar to findings that I and two colleagues reported more than 25 years ago (2). In that work, we also employed a flame-thermal treatment of Ti plates to prepare TiO2 films at different temperatures. We also demonstrated water splitting, but under sunlight rather than under artificial illumination. Whereas we reported an energy...

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