Constants of strong uniqueness of minimal norm-one projections
A. Micek
Banach Center Publications, Tome 95 (2011), p. 265-277 / Harvested from The Polish Digital Mathematics Library
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In this paper we calculate the constants of strong uniqueness of minimal norm-one projections on subspaces of codimension k in the space l∞(n). This generalizes a main result of W. Odyniec and M. P. Prophet [J. Approx. Theory 145 (2007), 111-121]. We applied in our proof Kolmogorov’s type theorem (see A. Wójcik [Approximation and Function Spaces (Gdańsk, 1979), PWN, Warszawa / North-Holland, Amsterdam, 1981, 854-866]) for strongly unique best approximation.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:286386 
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     title = {Constants of strong uniqueness of minimal norm-one projections},
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     volume = {95},
     year = {2011},
     pages = {265-277},
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     language = {en},
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A. Micek. Constants of strong uniqueness of minimal norm-one projections. Banach Center Publications, Tome 95 (2011) pp. 265-277. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-18/