Hello there!
I am collecting results on the majorization and trumping of infinite dimensional probability vectors. Here is a list of papers (in context of quantum information):
(1) ε-convertibility of entangled states and extension of Schmidt rank in infinite-dimensional systems (http://arxiv.org/abs/quant-ph/0609167v4).
(2) An infinite dimensional Schur–Horn Theorem and majorization theory (http://www.sciencedirect.com/science/article/pii/S0022123610003563).
Please let me know other results in this direction and if possible a reference to the book. Also, since trumping conditions are relatively recent in the case of finite dimensional probability vectors, are there some explicit results in infinite dimensional case too?
Thanks in advance!
Best,
Uttam