On a generalized concept of order relations on $B(H)$

Year, pages: 2018, 33 - 40

Let $H$ be a Hilbert space and $B(H)$ the set of all bounded linear operators on $H$. In the paper we consider the generalized concept of order relations on $B(H)$ which was proposed by Šemrl and which covers the star partial order, the left-star partial order, the right-star partial order, and the minus partial order. We also connect this concept with the sharp partial order.

Dolinar, G., Marovt, J. 2018. On a generalized concept of order relations on $B(H)$. In Mathematica Slovaca, vol. 68, no.1, pp. 33-40. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0077

Dolinar, G., Marovt, J. (2018). On a generalized concept of order relations on $B(H)$. Mathematica Slovaca, 68(1), 33-40. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0077