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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 4, Pages 80–86
DOI: https://doi.org/10.4213/faa3015 (Mi faa3015) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

An Integer-Valued Version of the Birman–Krein Formula

A. B. Pushnitskii

Department of Mathematics, King's College London
Full-text PDF (182 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa3015
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.
Received: 13.01.2010
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 4, Pages 307–312
DOI: https://doi.org/10.1007/s10688-010-0041-y
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. B. Pushnitskii, “An Integer-Valued Version of the Birman–Krein Formula”, Funktsional. Anal. i Prilozhen., 44:4 (2010), 80–86; Funct. Anal. Appl., 44:4 (2010), 307–312
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/faa3015
  • https://doi.org/10.4213/faa3015
  • https://www.mathnet.ru/eng/faa/v44/i4/p80
    • This publication is cited in the following 2 articles:
    1. Carey A., Gesztesy F., Levitina G., Potapov D., Sukochev F., Zanin D., “On index theory for non-Fredholm operators: A (1 + 1)-dimensional example”, Math. Nachr., 289:5-6 (2016), 575–609  crossref  mathscinet  zmath  isi  scopus
    2. Pushnitski A., “The Birman-Schwinger principle on the essential spectrum”, J. Funct. Anal., 261:7 (2011), 2053–2081  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Abstract page:476
    Full-text PDF :232
    References:78
    First page:11
     
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