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Matematicheskie Zametki, 2011, Volume 89, Issue 5, Pages 788–793
DOI: https://doi.org/10.4213/mzm8649 (Mi mzm8649) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Best Approximation in Vector Spaces

M. R. Haddadi, H. Mazaheri

Yazd University
Full-text PDF (377 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8649
Abstract: In this paper, we shall obtain some results on best $f$-approximation in quotient spaces of vector spaces and determine under what conditions $f$-proximinality can be transmitted to and from quotient spaces. Also, in conclusion, we consider the relationship between $f$-approximation subsets and linear functionals on $X$.
Keywords: vector space, $f$-proximinal subspace, $f$-Chebyshev subspace, quotient space, Hahn–Banach space, linear functional.
Received: 24.10.2009
Revised: 21.01.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 5, Pages 741–745
DOI: https://doi.org/10.1134/S0001434611050142
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: M. R. Haddadi, H. Mazaheri, “Best Approximation in Vector Spaces”, Mat. Zametki, 89:5 (2011), 788–793; Math. Notes, 89:5 (2011), 741–745
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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    References:73
    First page:21
     
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