Fredholm weighted composition operators

Ching On Lo; Anthony Wai Keung Loh

doi:10.7153/oam-2019-13-10

Fredholm weighted composition operators

Ching On Lo, Anthony Wai Keung Loh

Division of Science, Engineering and Health Studies (SEHS)

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

2 Citations (Scopus)

Abstract

We show that Fredholm weighted composition operators on L^p-spaces with nonatomic measures are precisely the invertible ones. We also characterize the classes of Fredholm and invertible weighted composition operators on l^p. Furthermore, the closedness of ranges and Fredholmness of these operators on H^p-spaces of the unit disk are investigated.

Original language	English
Article number	OaM-13-10
Pages (from-to)	169-186
Number of pages	18
Journal	Operators and Matrices
Volume	13
Issue number	1
DOIs	https://doi.org/10.7153/oam-2019-13-10
Publication status	Published - Mar 2019

Keywords

Fredholm operators
Hardy spaces
Lebesgue spaces
Weighted composition operators

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title = "Fredholm weighted composition operators",

abstract = "We show that Fredholm weighted composition operators on Lp-spaces with nonatomic measures are precisely the invertible ones. We also characterize the classes of Fredholm and invertible weighted composition operators on lp. Furthermore, the closedness of ranges and Fredholmness of these operators on Hp-spaces of the unit disk are investigated.",

keywords = "Fredholm operators, Hardy spaces, Lebesgue spaces, Weighted composition operators",

author = "Lo, {Ching On} and Loh, {Anthony Wai Keung}",

year = "2019",

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language = "English",

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T1 - Fredholm weighted composition operators

AU - Lo, Ching On

AU - Loh, Anthony Wai Keung

PY - 2019/3

Y1 - 2019/3

N2 - We show that Fredholm weighted composition operators on Lp-spaces with nonatomic measures are precisely the invertible ones. We also characterize the classes of Fredholm and invertible weighted composition operators on lp. Furthermore, the closedness of ranges and Fredholmness of these operators on Hp-spaces of the unit disk are investigated.

AB - We show that Fredholm weighted composition operators on Lp-spaces with nonatomic measures are precisely the invertible ones. We also characterize the classes of Fredholm and invertible weighted composition operators on lp. Furthermore, the closedness of ranges and Fredholmness of these operators on Hp-spaces of the unit disk are investigated.

KW - Fredholm operators

KW - Hardy spaces

KW - Lebesgue spaces

KW - Weighted composition operators

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U2 - 10.7153/oam-2019-13-10

DO - 10.7153/oam-2019-13-10

M3 - Article

AN - SCOPUS:85070785746

SN - 1846-3886

VL - 13

SP - 169

EP - 186

JO - Operators and Matrices

JF - Operators and Matrices

IS - 1

M1 - OaM-13-10

ER -

Fredholm weighted composition operators

Abstract

Keywords

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