Open Access
2014 Strong coefficient quantization properties in Banach spaces
Kyugeun Cho, Ju Myung Kim, Sun Kwang Kim, Han Ju Lee
Banach J. Math. Anal. 8(2): 131-138 (2014). DOI: 10.15352/bjma/1396640058

Abstract

We prove that a dictionary for a Banach space $X$ has the strong coefficient quantization property if it has the same property when it restricted on the unit ball of $X$. We also obtain the same result for the strong net quantization property.

Citation

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Kyugeun Cho. Ju Myung Kim. Sun Kwang Kim. Han Ju Lee. "Strong coefficient quantization properties in Banach spaces." Banach J. Math. Anal. 8 (2) 131 - 138, 2014. https://doi.org/10.15352/bjma/1396640058

Information

Published: 2014
First available in Project Euclid: 4 April 2014

zbMATH: 1304.46014
MathSciNet: MR3189545
Digital Object Identifier: 10.15352/bjma/1396640058

Subjects:
Primary: 46B20
Secondary: 46B45

Keywords: Coefficient quantizatioin property , net quantizatioin property , strong coefficient quantizatioin property , strong net quantizatioin property

Rights: Copyright © 2014 Tusi Mathematical Research Group

Vol.8 • No. 2 • 2014
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