Best Possible Nets in a Normed Linear Space1
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 45-48
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In this note we examine the question of the existence of a best possible N-net for a bounded set in a normed linear space. A sufficient condition for existence is given which leads to easy proofs of some of the standard results. The pertinent reference here is the paper by Garkavi [1].Let E be a normed linear space and let M be a bounded set in E. Any system of N points in E will be called an N-net. For a given M and the net SN = {y1, y2,..., yN} define and
Keener, L. L. Best Possible Nets in a Normed Linear Space1. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 45-48. doi: 10.4153/CMB-1975-009-6
@article{10_4153_CMB_1975_009_6,
author = {Keener, L. L.},
title = {Best {Possible} {Nets} in a {Normed} {Linear} {Space1}},
journal = {Canadian mathematical bulletin},
pages = {45--48},
year = {1975},
volume = {18},
number = {1},
doi = {10.4153/CMB-1975-009-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-009-6/}
}
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