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A trace formula for hankel operators

A trace formula for hankel operators
A trace formula for hankel operators

We show that if G is an operator valued analytic function in the open right half plane such that the Hankel operator HG with symbol G is of trace-class, then G has continuous extension to the imaginary axis, G(∞) := lim τ→∞ τεR G(r) exists in the trace-class norm, and tr(HG) = 1/2 tr(G(0) -G(∞)).

0002-9939
2007-2012
Gheondea, Aurelian
97dd2d38-c290-4cd8-9f95-b580a9501f8b
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Gheondea, Aurelian
97dd2d38-c290-4cd8-9f95-b580a9501f8b
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36

Gheondea, Aurelian and Ober, Raimund J. (1999) A trace formula for hankel operators. Proceedings of the American Mathematical Society, 127 (7), 2007-2012.

Record type: Article

Abstract

We show that if G is an operator valued analytic function in the open right half plane such that the Hankel operator HG with symbol G is of trace-class, then G has continuous extension to the imaginary axis, G(∞) := lim τ→∞ τεR G(r) exists in the trace-class norm, and tr(HG) = 1/2 tr(G(0) -G(∞)).

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Published date: 1999

Identifiers

Local EPrints ID: 425018
URI: http://eprints.soton.ac.uk/id/eprint/425018
ISSN: 0002-9939
PURE UUID: 2aa5df51-5a86-4be0-9e78-f4d8653e9f96
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430

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Date deposited: 09 Oct 2018 16:30
Last modified: 07 Oct 2020 02:22

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Contributors

Author: Aurelian Gheondea
Author: Raimund J. Ober ORCID iD

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