On a Weyl-von Neumann type theorem for antilinear self-adjoint operators

Santtu Ruotsalainen. "On a Weyl-von Neumann type theorem for antilinear self-adjoint operators." Studia Mathematica 213.3 (2012): 191-205. <http://eudml.org/doc/285451>.

@article{SanttuRuotsalainen2012,
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.},
author = {Santtu Ruotsalainen},
journal = {Studia Mathematica},
keywords = {antilinear operator; diagonalizable operator; Weyl-von Neumann theorem; conjugation},
language = {eng},
number = {3},
pages = {191-205},
title = {On a Weyl-von Neumann type theorem for antilinear self-adjoint operators},
url = {http://eudml.org/doc/285451},
volume = {213},
year = {2012},
}

TY - JOUR
AU - Santtu Ruotsalainen
TI - On a Weyl-von Neumann type theorem for antilinear self-adjoint operators
JO - Studia Mathematica
PY - 2012
VL - 213
IS - 3
SP - 191
EP - 205
AB - 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.
LA - eng
KW - antilinear operator; diagonalizable operator; Weyl-von Neumann theorem; conjugation
UR - http://eudml.org/doc/285451
ER -