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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 6, Pages 1340–1358 (Mi smj2165)  
This article is cited in 2 scientific papers (total in 2 papers)

Extension conditions for bounded linear and sublinear operators with values in Lindenstrauss spaces

Yu. È. Linke

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk
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Abstract: We find extension conditions for linear and sublinear operators with values in four classes of spaces: the spaces of continuous functions on a compact set, Lindenstrauss spaces, and their separable parts. We prove that in all these cases the extension property for linear operators implies the extension property for sublinear operators, while in separable spaces the two properties are equivalent.
Keywords: linear operator, sublinear operator, extension of operators, affine mapping, subdifferential, multivalued mapping, Lindenstrauss space.
Received: 10.02.2010
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 6, Pages 1061–1074
DOI: https://doi.org/10.1007/s11202-010-0104-6
Bibliographic databases:
Document Type: Article
UDC: 517.982+517.988
Language: Russian
Citation: Yu. È. Linke, “Extension conditions for bounded linear and sublinear operators with values in Lindenstrauss spaces”, Sibirsk. Mat. Zh., 51:6 (2010), 1340–1358; Siberian Math. J., 51:6 (2010), 1061–1074
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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