Strong coefficient quantization properties in banach spaces

Kyugeun Cho; Ju Myung Kim; Sun Kwang Kim; Han Ju Lee

doi:10.15352/bjma/1396640058

Strong coefficient quantization properties in banach spaces

Kyugeun Cho, Ju Myung Kim, Sun Kwang Kim, Han Ju Lee

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	131-138
Number of pages	8
Journal	Banach Journal of Mathematical Analysis
Volume	8
Issue number	2
DOIs	https://doi.org/10.15352/bjma/1396640058
State	Published - 2014

Keywords

Coefficient quantizatioin property
Net quantizatioin property
Strong coefficient quantizatioin property
Strong net quantizatioin property

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10.15352/bjma/1396640058

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title = "Strong coefficient quantization properties in banach spaces",

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.",

keywords = "Coefficient quantizatioin property, Net quantizatioin property, Strong coefficient quantizatioin property, Strong net quantizatioin property",

author = "Kyugeun Cho and Kim, {Ju Myung} and Kim, {Sun Kwang} and Lee, {Han Ju}",

year = "2014",

doi = "10.15352/bjma/1396640058",

language = "English",

volume = "8",

pages = "131--138",

journal = "Banach Journal of Mathematical Analysis",

issn = "2662-2033",

publisher = "Tusi Mathematical Research Group (TMRG)",

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AU - Cho, Kyugeun

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AU - Kim, Sun Kwang

AU - Lee, Han Ju

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AB - 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.

KW - Coefficient quantizatioin property

KW - Net quantizatioin property

KW - Strong coefficient quantizatioin property

KW - Strong net quantizatioin property

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DO - 10.15352/bjma/1396640058

M3 - Article

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JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

IS - 2

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Strong coefficient quantization properties in banach spaces

Abstract

Keywords

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