OPERATOR SELF ADJOINT PADA RUANG HILBERT
Abstract
In this article, will discuss definition, examples, algebra properties, and some
characteristic of self-adjoint operators on Hilbert space. In the Hilbert space there are types of
bounded linear operators such as adjoint operators and self-adjoint operators. To investigate
characteristic of self-adjoint operator required concepts of Hilbert space, operators on Hilbert
spaces, Riesz representation theorem, and adjoint operators on Hilbert space. It then takes a
thought to investigate the characteristic of self-adjoint operators. Discussion of self-adjoint
operators more emphasis on understanding the definition, algebra properties, and characteristic of
self-adjoint operators on Hilbert space. The results obtained are algebra properties of self-adjoint
operators such as addition, subtraction, scalar multiplication, and multiplication of self-adjoint
operators. In addition, some characteristic associated with self-adjoint operators on Hilbert space.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish in UJMC (Unisda Journal of Mathematics and Computer Science) agree to the following terms:
1.Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
2.Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
3.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.