Denseness of norm attaining compact operators to some vector-valued function spaces

Sun Kwang Kim; Han Ju Lee

doi:10.1007/s43037-022-00220-7

Denseness of norm attaining compact operators to some vector-valued function spaces

Sun Kwang Kim
, Han Ju Lee

Department of Mathematics Education

Chungbuk National University

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

Abstract

It is known that every compact linear operator from a Banach space to a uniform algebra can be approximated by norm attaining ones. In this paper, we study this approximation for compact operators whose range is a vector-valued function space.

Original language	English
Article number	69
Journal	Banach Journal of Mathematical Analysis
Volume	16
Issue number	4
DOIs	https://doi.org/10.1007/s43037-022-00220-7
State	Published - Oct 2022

Keywords

Banach space
Function algebra
Norm attaining operator
The Bishop–Phelps theorem
The Bishop–Phelps–Bollobás theorem

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10.1007/s43037-022-00220-7

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title = "Denseness of norm attaining compact operators to some vector-valued function spaces",

abstract = "It is known that every compact linear operator from a Banach space to a uniform algebra can be approximated by norm attaining ones. In this paper, we study this approximation for compact operators whose range is a vector-valued function space.",

keywords = "Banach space, Function algebra, Norm attaining operator, The Bishop–Phelps theorem, The Bishop–Phelps–Bollob{\'a}s theorem",

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

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AB - It is known that every compact linear operator from a Banach space to a uniform algebra can be approximated by norm attaining ones. In this paper, we study this approximation for compact operators whose range is a vector-valued function space.

KW - Banach space

KW - Function algebra

KW - Norm attaining operator

KW - The Bishop–Phelps theorem

KW - The Bishop–Phelps–Bollobás theorem

UR - https://www.scopus.com/pages/publications/85139089851

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DO - 10.1007/s43037-022-00220-7

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JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

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ER -

Denseness of norm attaining compact operators to some vector-valued function spaces

Abstract

Keywords

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