On the uniqueness of the Lebesgue decomposition of normal states on $B(H)$

Zoltán Sebestyén, Zsigmond Tarcsay, Tamás Titkos

The non-commutative theory of the Lebesgue-type decomposition of positive functionals is originated with S. P. Gudder. Although H. Kosaki's counterexample shows that the decomposit…