Compact-type weighted composition operators between Lp-spaces

Ching on Lo

doi:10.1007/s43037-020-00068-9

Compact-type weighted composition operators between L^p-spaces

Ching on Lo

Division of Science, Engineering and Health Studies (SEHS)

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

2 Citations (Scopus)

Abstract

We completely characterize compact weighted composition operators between L^p-spaces. The relations among compactness, completely continuity, weakly compactness and M-weakly compactness of these operators are also investigated.

Original language	English
Pages (from-to)	1421-1442
Number of pages	22
Journal	Banach Journal of Mathematical Analysis
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/s43037-020-00068-9
Publication status	Published - 1 Sept 2020

Keywords

Compact operators
Completely continuous operators
Lebesgue spaces
M-weakly compact operators
Weakly compact operators
Weighted composition operators

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10.1007/s43037-020-00068-9

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title = "Compact-type weighted composition operators between Lp-spaces",

abstract = "We completely characterize compact weighted composition operators between Lp-spaces. The relations among compactness, completely continuity, weakly compactness and M-weakly compactness of these operators are also investigated.",

keywords = "Compact operators, Completely continuous operators, Lebesgue spaces, M-weakly compact operators, Weakly compact operators, Weighted composition operators",

author = "Lo, \{Ching on\}",

note = "Publisher Copyright: {\textcopyright} 2020, Tusi Mathematical Research Group (TMRG).",

year = "2020",

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AB - We completely characterize compact weighted composition operators between Lp-spaces. The relations among compactness, completely continuity, weakly compactness and M-weakly compactness of these operators are also investigated.

KW - Compact operators

KW - Completely continuous operators

KW - Lebesgue spaces

KW - M-weakly compact operators

KW - Weakly compact operators

KW - Weighted composition operators

UR - https://www.scopus.com/pages/publications/85085007662

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M3 - Article

AN - SCOPUS:85085007662

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JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

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ER -

Compact-type weighted composition operators between L^p-spaces

Abstract

Keywords

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