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Matematicheskie Zametki, 2009, Volume 86, Issue 2, Pages 170–174
DOI: https://doi.org/10.4213/mzm6328 (Mi mzm6328) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An Example of Non-Approximatively-Compact Existence Set with Finite-Valued Metric Projection

P. A. Borodin, I. A. Pyatyshev

M. V. Lomonosov Moscow State University
Full-text PDF (394 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm6328
Abstract: An example indicated in the title is constructed in an arbitrary Banach lattice in which the order is defined by a countable symmetric Schauder basis with the symmetry constant 1 and which satisfies the additional condition of strict monotonicity of the norm with respect to the coordinates.
Keywords: Banach lattice, Hilbert space, symmetric Schauder basis, existence set, approximatively compact set, metric projection.
Received: 15.09.2008
Revised: 19.11.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 2, Pages 159–162
DOI: https://doi.org/10.1134/S0001434609070189
Bibliographic databases:
UDC: 517.982.256
Language: Russian
Citation: P. A. Borodin, I. A. Pyatyshev, “An Example of Non-Approximatively-Compact Existence Set with Finite-Valued Metric Projection”, Mat. Zametki, 86:2 (2009), 170–174; Math. Notes, 86:2 (2009), 159–162
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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