The Bishop-Phelps-Bollobás property for operators from C(K) to uniformly convex spaces

Sun Kwang Kim; Han Ju Lee

doi:10.1016/j.jmaa.2014.06.081

The Bishop-Phelps-Bollobás property for operators from C(K) to uniformly convex spaces

Sun Kwang Kim, Han Ju Lee

Department of Mathematics Education

Kyonggi University

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

10 Scopus citations

Abstract

We show that the pair (. C(. K), X) has the Bishop-Phelps-Bollobás property for operators if K is a compact Hausdorff space and X is a uniformly convex space.

Original language	English
Pages (from-to)	51-58
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	421
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2014.06.081
State	Published - 1 Jan 2015

Keywords

Approximation
Banach space
Bishop-Phelps-Bollobás theorem

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10.1016/j.jmaa.2014.06.081

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title = "The Bishop-Phelps-Bollob{\'a}s property for operators from C(K) to uniformly convex spaces",

abstract = "We show that the pair (. C(. K), X) has the Bishop-Phelps-Bollob{\'a}s property for operators if K is a compact Hausdorff space and X is a uniformly convex space.",

keywords = "Approximation, Banach space, Bishop-Phelps-Bollob{\'a}s theorem",

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

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

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AU - Lee, Han Ju

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N2 - We show that the pair (. C(. K), X) has the Bishop-Phelps-Bollobás property for operators if K is a compact Hausdorff space and X is a uniformly convex space.

AB - We show that the pair (. C(. K), X) has the Bishop-Phelps-Bollobás property for operators if K is a compact Hausdorff space and X is a uniformly convex space.

KW - Approximation

KW - Banach space

KW - Bishop-Phelps-Bollobás theorem

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SN - 0022-247X

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JO - Journal of Mathematical Analysis and Applications

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The Bishop-Phelps-Bollobás property for operators from C(K) to uniformly convex spaces

Abstract

Keywords

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