On a weyl-von neumann type theorem for antilinear self-adjoint operators
Research output: Contribution to journal › Article › Scientific › peer-review
|Number of pages||15|
|Publication status||Published - 2012|
|MoE publication type||A1 Journal article-refereed|
Antilinear operators on a complex Hilbert space arise in various contexts in mathematical physics. In this paper, an analogue of the Weyl-von Neumann theorem for antilinear self-adjoint operators is proved, i.e. that an antilinear self-adjoint operator is the sum of a diagonalizable operator and of a compact operator with arbitrarily small Schatten p-norm. On the way, we discuss conjugations and their properties. A spectral integral representation for antilinear self-adjoint operators is constructed.
- Antilinear operator, Conjugation, Diagonalizable operator, Weyl-von neumann theorem