References
- Drazin MP. Natural structures on semigroups with involution. Bull. Math. Amer. Math. Soc. 1978;84:139–141.
- Hartwig RE. Pseudo lattice properties of the star-orthogonal partial ordering for star-regular rings. Proc. Amer. Math. Soc. 1979;77:299–303.
- Hartwig RE, Drazin MP. Lattice properties of the ∗-order for complex matrices. J. Math. Anal. Appl. 1982;86:359–378.
- Gudder S. An order for quantum observables. Math. Slovaca. 2006;56:573–589.
- Pulmannová S, Vinceková E. Remarks on the order for quantum observables. Math. Slovaca. 2007;57:589–600.
- Cīrulis J. Further remarks on an order of quantum observables. Math. Slovaca (in print; a preprint available as arXiv:1301.0640).
- Li Y, Xu XM. The logic order on a generalized Hermitian algebra. Repts. Math. Phys. 2012;69:371–381.
- Xu X-M, Du H-K, Fang X, Li Y. The supremum of linear operators for the ∗-order. Linear Algebra Appl. 2010;433:2198–2207.
- Antezana J, Cano C, Mosconi I, Stojanoff D. A note on the star order in Hilbert spaces. Linear Multilinear Algebra. 2010;58:1037–1051.
- Mitra SK, Bhimasanharam P, Malik SB. Matrix partial orders, shorted operators and applications. Singapore: World Scientific; 2010.
- Berberian SK. Baer ∗-rings. Berlin: Springer-Verlag; 2011.
- Bohata M. Star order on operator and function algebras. Publ. Math. 2011;79:211–229.
- Janowitz MF. On the ∗-order for Rickart ∗-rings. Algebra Univers. 1983;16:360–369.
- Foulis DJ. Baer ∗-semigroups. Proc. Amer. Math. Soc. 1960;11:648–654.
- Foulis DJ. Relative inverses in Baer ∗-semigroups. Mich. Math. J. 1963;10:65–84.
- Janowitz MF. A note on Rickart rings and semi-Boolean algebras. Algebra Univers. 1976;6:9–12.
- Hestenes RM. Relative Hermitian matrices. Pacific J. Math. 1961;11:224–245.
- Dolinar G, Marovt J. Star partial order on B(H). Linear Algebra Appl. 2011;434:319–326.
- Baksalary JK, Mitra SK. Left-star and right-star partial ordering. Linear Algebra Appl. 1991;149:73–89.
- Deng Ch, Wang Sh. On some characterizations of the partial ordering for bounded operators. Math. Inequal. Appl. 2012;12:619–630.
- Marovt J, Rakič DS, Djodjevič DS. Star, left-star, and right-star partial orders in Rickart ∗-rings. Linear Multilinear Algebra. in press.