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

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On a weyl-von neumann type theorem for antilinear self-adjoint operators. / Ruotsalainen, Santtu.

In: Studia Mathematica, Vol. 213, No. 3, 2012, p. 191-205.

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Ruotsalainen, Santtu. / On a weyl-von neumann type theorem for antilinear self-adjoint operators. In: Studia Mathematica. 2012 ; Vol. 213, No. 3. pp. 191-205.

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title = "On a weyl-von neumann type theorem for antilinear self-adjoint operators",
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.",
keywords = "Antilinear operator, Conjugation, Diagonalizable operator, Weyl-von neumann theorem",
author = "Santtu Ruotsalainen",
year = "2012",
doi = "10.4064/sm213-3-1",
language = "English",
volume = "213",
pages = "191--205",
journal = "Studia Mathematica",
issn = "0039-3223",
publisher = "Instytut Matematyczny",
number = "3",

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RIS - Download

TY - JOUR

T1 - On a weyl-von neumann type theorem for antilinear self-adjoint operators

AU - Ruotsalainen, Santtu

PY - 2012

Y1 - 2012

N2 - 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.

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.

KW - Antilinear operator

KW - Conjugation

KW - Diagonalizable operator

KW - Weyl-von neumann theorem

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U2 - 10.4064/sm213-3-1

DO - 10.4064/sm213-3-1

M3 - Article

VL - 213

SP - 191

EP - 205

JO - Studia Mathematica

JF - Studia Mathematica

SN - 0039-3223

IS - 3

ER -

ID: 12921078