Ábel Göde (ELTE): Supremum and infimum of positive operators

We can consider a natural ordering on the B₊(H), the cone of positive operators, namely A ≤ B if (Ax|x) ≤ (Bx|x) for all x ∈ H. Kadison and Ando found necessary and sufficient conditions for the existence of the supremum and infimum of two given operators, respectively. We investigated the same problems in the context of anti-dual pairs. Our research includes properties of Busch-Gudder strength functions, parallel addition and Lebesgue-type decomposition of operators in the anti-dual pair setting.

The zoom link to the talk is:

https://us06web.zoom.us/j/97594629945?pwd=MmFNaVk4a1FhdjEvc2RRdGdod0FpZz09 .