In: Tatra Mountains Mathematical Publications, vol. 50, no. 3
Jiří Janda
Detaily:
Rok, strany: 2011, 63 - 78
Kľúčové slová:
generalized) effect algebra, weakly ordered partial group, Hilbert space, unbounded linear operator, self-adjoint linear operator
O článku:
We continue in a direction of describing an algebraic structure of linear operators on infinite-dimensional complex Hilbert space $\mathcal{H}$. In [Paseka, J.–Janda, J.: \textit{More on \cP\cT-symmetry in (generalized) effect algebras and partial groups}, Acta Polytech. 51 (2011), 65–72] introduced the notion of a weakly ordered partial commutative group and showed that linear operators on $\mathcal H$ with restricted addition possess this structure. In our work, we are investigating the set of self-adjoint linear operators on $\mathcal H$ showing that with more restricted addition it also has the structure of a weakly ordered partial commutative group.
Ako citovať:
ISO 690:
Janda, J. 2011. Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space. In Tatra Mountains Mathematical Publications, vol. 50, no.3, pp. 63-78. 1210-3195.
APA:
Janda, J. (2011). Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space. Tatra Mountains Mathematical Publications, 50(3), 63-78. 1210-3195.