15 citations · 45 across the 6 of their papers we have counts for
7 papers
Isomorphisms of spectral lattices
Martin Bohata
The paper deals with spectral order isomorphisms between certain spectral sublattices of direct sums of AW*-factors. We prove that these maps consist of spectral order isomorphisms…
Spectral order isomorphisms and AW*-factors
Martin Bohata
The paper deals with spectral order isomorphisms in the framework of AW*-algebras. We establish that every spectral order isomorphism between sets of all self-adjoint operators (or…
Vigier's theorem for the spectral order and its applications
Martin Bohata
The paper mainly deals with suprema and infima of self-adjoint operators in a von Neumann algebra with respect to the spectral order. Let be the se…
Star order and topologies on von Neumann algebras
Martin Bohata
The goal of the paper is to study a topology generated by the star order on von Neumann algebras. In particular, it is proved that the order topology under investigation is finer t…
Preduals of JBW-triples are 1-Plichko spaces
Martin Bohata, Jan Hamhalter, Ondrej F. K. Kalenda +2
We prove that the predual, , of a JBW-triple is a 1-Plichko space (i.e. it admits a countably 1-norming Markushevich basis or, equivalently, it has a commutative 1-pro…
Decompositions of preduals of JBW and JBW algebras
Martin Bohata, Jan Hamhalter, Ondřej F. K. Kalenda
We prove that the predual of any JBW-algebra is a complex -Plichko space and the predual of any JBW-algebra is a real -Plichko space. I.e., any such space has a countably…