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

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Ruotsalainen S.

Studia Mathematica

2012

tom 213

nr 3

191-205

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.

Ograniczanie wyników

1 Studia Mathematica

1 Ruotsalainen S.

1 2012

Wyniki wyszukiwania

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