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Funktsional'nyi Analiz i ego Prilozheniya, 2011, Volume 45, Issue 4, Pages 1–15
DOI: https://doi.org/10.4213/faa3049 (Mi faa3049) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On the space of symmetric operators with multiple ground states

A. A. Agrachevab

a Scuola Internazionale Superiore di Studi Avanzati, Trieste
b Steklov Mathematical Institute, Moscow, Russia
Full-text PDF (244 kB) Citations (10)
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DOI: https://doi.org/10.4213/faa3049
Abstract: We study the homology structure of the filtration of the space of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting on a finite-dimensional complex or real Hilbert space, but infinite-dimensional generalizations are easy to guess.
Keywords: self-adjoint operator, multiple eigenvalue, exact sequence.
Received: 15.07.2011
English version:
Functional Analysis and Its Applications, 2011, Volume 45, Issue 4, Pages 241–251
DOI: https://doi.org/10.1007/s10688-011-0026-5
Bibliographic databases:
Document Type: Article
UDC: 515.146+512.64
Language: Russian
Citation: A. A. Agrachev, “On the space of symmetric operators with multiple ground states”, Funktsional. Anal. i Prilozhen., 45:4 (2011), 1–15; Funct. Anal. Appl., 45:4 (2011), 241–251
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    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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    References:55
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