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Matematicheskie Zametki, 2007, Volume 81, Issue 1, Pages 43–58
DOI: https://doi.org/10.4213/mzm3516 (Mi mzm3516) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Interpolation of Positive Operators

L. V. Veselovaa, F. A. Sukochevb, O. E. Tikhonovc

a Kazan Institute for Chemical Technology
b Flinders University
c N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
Full-text PDF (576 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3516
Abstract: We study problems of interpolation of positive linear operators in couples of ordered Banach spaces. From this viewpoint, we study couples of noncommutative spaces $L_1$, $L_\infty$ associated with weights and traces on von Neumann algebras.
Keywords: interpolation problem, positive linear operators, ordered Banach spaces, Banach couple, von Neumann algebra.
Received: 30.01.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 1, Pages 37–50
DOI: https://doi.org/10.1134/S000143460701004X
Bibliographic databases:
UDC: 517.982.1+517.983.27+517.986.33
Language: Russian
Citation: L. V. Veselova, F. A. Sukochev, O. E. Tikhonov, “Interpolation of Positive Operators”, Mat. Zametki, 81:1 (2007), 43–58; Math. Notes, 81:1 (2007), 37–50
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v81/i1/p43
    • This publication is cited in the following 2 articles:
    1. Bikchentaev A.M. Sherstnev A.N., “Studies on Noncommutative Measure Theory in Kazan University (1968-2018)”, Int. J. Theor. Phys., 60:2, SI (2021), 585–596  crossref  mathscinet  isi
    2. Chill R., Fiorenza A., Krol S., “Interpolation of Nonlinear Positive Or Order Preserving Operators on Banach Lattices”, Positivity, 24:3 (2020), 507–532  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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