OPERATOR SELF ADJOINT PADA RUANG HILBERT

  • Gunawan Gunawan Universitas Muhammadiyah Purwokerto
Keywords: Riesz representation theorem, adjoint operators, self adjoint operators, Hilbert space

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.

Published
2018-03-01