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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 3, Pages 658–665
DOI: https://doi.org/10.17377/smzh.2016.57.313 (Mi smj2771) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On compact domination of homogeneous orthogonally additive polynomials

Z. A. Kusraeva

Southern Mathematical Institute, Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
Full-text PDF (397 kB) Citations (8)
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DOI: https://doi.org/10.17377/smzh.2016.57.313
Abstract: We prove an analog of the Dodds–Fremlin–Wickstead Theorem on compact domination for homogeneous orthogonally additive polynomials in Banach lattices. The proof is based on linearization of the polynomials which was established earlier by the author.
Keywords: Banach lattice, orthogonally additive polynomial, domination problem, concavification, compactness, Dodds–Fremlin–Wickstead Theorem.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-91339 ННИО-а
The author was supported by the Russian Foundation for Basic Research (Grant 14-01-91339 DFG-a).
Received: 26.10.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 3, Pages 519–524
DOI: https://doi.org/10.1134/S0037446616030137
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Z. A. Kusraeva, “On compact domination of homogeneous orthogonally additive polynomials”, Sibirsk. Mat. Zh., 57:3 (2016), 658–665; Siberian Math. J., 57:3 (2016), 519–524
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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