Operators on anti-dual pairs: Lebesgue decomposition of positive operators
نویسندگان
چکیده
منابع مشابه
Maps on positive operators preserving Lebesgue decompositions
Let H be a complex Hilbert space. Denote by B(H)+ the set of all positive bounded linear operators on H. A bijective map φ : B(H)+ → B(H)+ is said to preserve Lebesgue decompositions in both directions if for any quadruple A,B,C,D of positive operators, B = C +D is an A-Lebesgue decomposition of B if and only if φ(B) = φ(C)+φ(D) is a φ(A)-Lebesgue decomposition of φ(B). It is proved that every ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2020
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2019.123753