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Brief communications

An Integer-Valued Version of the Birman–Krein Formula

A. B. Pushnitskii

Department of Mathematics, King's College London

Abstract: An identity in abstract scattering theory is discussed. This identity can be interpreted as an integer-valued version of the Birman–Krein formula.

Keywords: Birman–Krein formula, spectral projections, index, scattering matrix.

UDC: 517.98

Received: 13.01.2010

DOI: 10.4213/faa3015

 English version: Functional Analysis and Its Applications, 2010, 44:4, 307–312

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