On a weyl-von neumann type theorem for antilinear self-adjoint operators

Research output: Contribution to journalArticleScientificpeer-review

Details

Original languageEnglish
Pages (from-to)191-205
Number of pages15
JournalStudia Mathematica
Volume213
Issue number3
Publication statusPublished - 2012
MoE publication typeA1 Journal article-refereed

Researchers

  • Santtu Ruotsalainen

Research units

Abstract

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.

    Research areas

  • Antilinear operator, Conjugation, Diagonalizable operator, Weyl-von neumann theorem

ID: 12921078