Let $H$ Hilbert space and let $Q\colon H \to H$ be a linear, self-adjoint, positive, trace-class operator. Let $X\colon H \to H$ be a linear, self-adjoint, positive operator. Does it follow then that $$Tr(QX) < \infty ?$$
2026-04-03 19:55:20.1775246120
Is the trace of this operator finite?
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