Bishop–Phelps–Bollobás property for bilinear forms on spaces of continuous functions

Sun Kwang Kim; Han Ju Lee; Miguel Martín

doi:10.1007/s00209-015-1593-6

Bishop–Phelps–Bollobás property for bilinear forms on spaces of continuous functions

Sun Kwang Kim, Han Ju Lee, Miguel Martín

Department of Mathematics Education

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

5 Scopus citations

Abstract

It is shown that the Bishop–Phelps–Bollobás theorem holds for bilinear forms on the complex (Formula presented.) for arbitrary locally compact topological Hausdorff spaces (Formula presented.) and (Formula presented.).

Original language	English
Pages (from-to)	157-167
Number of pages	11
Journal	Mathematische Zeitschrift
Volume	283
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-015-1593-6
State	Published - 1 Jun 2016

Keywords

Approximation
Banach space
Bilinear form
Bishop–Phelps–Bollobás theorem
Norm attaining operator

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10.1007/s00209-015-1593-6

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title = "Bishop–Phelps–Bollob{\'a}s property for bilinear forms on spaces of continuous functions",

abstract = "It is shown that the Bishop–Phelps–Bollob{\'a}s theorem holds for bilinear forms on the complex (Formula presented.) for arbitrary locally compact topological Hausdorff spaces (Formula presented.) and (Formula presented.).",

keywords = "Approximation, Banach space, Bilinear form, Bishop–Phelps–Bollob{\'a}s theorem, Norm attaining operator",

author = "Kim, {Sun Kwang} and Lee, {Han Ju} and Miguel Mart{\'i}n",

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AU - Kim, Sun Kwang

AU - Lee, Han Ju

AU - Martín, Miguel

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N2 - It is shown that the Bishop–Phelps–Bollobás theorem holds for bilinear forms on the complex (Formula presented.) for arbitrary locally compact topological Hausdorff spaces (Formula presented.) and (Formula presented.).

AB - It is shown that the Bishop–Phelps–Bollobás theorem holds for bilinear forms on the complex (Formula presented.) for arbitrary locally compact topological Hausdorff spaces (Formula presented.) and (Formula presented.).

KW - Approximation

KW - Banach space

KW - Bilinear form

KW - Bishop–Phelps–Bollobás theorem

KW - Norm attaining operator

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Bishop–Phelps–Bollobás property for bilinear forms on spaces of continuous functions

Abstract

Keywords

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