Complex Gleason measures and the Nemytsky operator

Miguel A Valles, University of Texas at El Paso


This thesis is devoted to generalize previous results on Gleason measures to complex Gleason measures, and to develop a functional calculus for complex measures in relation to the Nemytsky operator. Furthermore we present the interpretation of our results in the field of quantum mechanics, some concrete examples and further extensions of several theorems.

Subject Area

Mathematics|Quantum physics

Recommended Citation

Valles, Miguel A, "Complex Gleason measures and the Nemytsky operator" (2016). ETD Collection for University of Texas, El Paso. AAI10151241.