We continue in a direction of describing an algebraic structureof linear operators on infinite-dimensional complex Hilbert space H.In [6] Paseka and Janda introduced the notion of a weakly orderedpartial commutative group and showed that linear operators on Hwith restricted addition possess this structure. In our work, we areinvestigating the set of self-adjoint linear operators on H showing thatwith more restricted addition it also has the structure of a weaklyordered partial commutative group.
@article{135,
title = {Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space},
journal = {Tatra Mountains Mathematical Publications},
volume = {49},
year = {2011},
doi = {10.2478/tatra.v50i3.135},
language = {EN},
url = {http://dml.mathdoc.fr/item/135}
}
Janda, Jiří. Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space. Tatra Mountains Mathematical Publications, Tome 49 (2011) . doi : 10.2478/tatra.v50i3.135. http://gdmltest.u-ga.fr/item/135/