Closed range weighted composition operators between L^{p}-spaces

We characterize the closedness of ranges of weighted composition operators between $L^p$-spaces, where $1 \leq p \leq \infty$. When the $L^p$-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.

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Weighted composition operators on weighted sequence spaces

Function Spaces in Analysis - Contemporary Mathematics ◽

10.1090/conm/645/12907 ◽

2015 ◽

pp. 199-215 ◽

Cited By ~ 2

Author(s):

Doan Luan ◽

Le Khoi

Keyword(s):

Composition Operators ◽

Sequence Spaces ◽

Weighted Composition Operators ◽

Weighted Sequence ◽

Weighted Composition

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Essential norm of weighted composition operators

Analysis ◽

10.1515/anly-2017-0027 ◽

2018 ◽

Vol 38 (3) ◽

pp. 145-154

Author(s):

Kuldip Raj ◽

Charu Sharma

Keyword(s):

Composition Operators ◽

Essential Norm ◽

Function Spaces ◽

Weighted Composition Operators ◽

Closed Range ◽

Weighted Composition

Abstract In the present paper we characterize the compact, invertible, Fredholm and closed range weighted composition operators on Cesàro function spaces. We also make an effort to compute the essential norm of weighted composition operators.

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Closed Range Weighted Composition Operators on $$H^{2}$$ H 2 and $$A_{\alpha }^{2}$$ A α 2

Iranian Journal of Science and Technology Transactions A Science ◽

10.1007/s40995-018-0576-y ◽

2018 ◽

Vol 43 (3) ◽

pp. 1167-1170

Author(s):

Mahmood Haji Shaabani

Keyword(s):

Composition Operators ◽

Weighted Composition Operators ◽

Closed Range ◽

Weighted Composition

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Compactness of multiplication, composition and weighted composition operators between some classical sequence spaces: A new approach

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-2017-47-8-2545 ◽

2017 ◽

Vol 47 (8) ◽

pp. 2545-2564

Author(s):

Ivana Djolović ◽

Eberhard Malkowsky

Keyword(s):

Composition Operators ◽

Sequence Spaces ◽

Weighted Composition Operators ◽

New Approach ◽

Weighted Composition

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Weighted Composition Operators on Weighted Banach Spaces of Holomorphic Functions on the Unit Polydisk with Closed Range

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.520218 ◽

2010 ◽

Vol 31 (11) ◽

pp. 1294-1300

Author(s):

Elke Wolf

Keyword(s):

Banach Spaces ◽

Composition Operators ◽

Holomorphic Functions ◽

Weighted Composition Operators ◽

Closed Range ◽

Spaces Of Holomorphic Functions ◽

Weighted Composition ◽

Unit Polydisk ◽

Weighted Banach Spaces

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Closed range weighted composition operators on weighted Bergman spaces

Georgian Mathematical Journal ◽

10.1515/gmj-2017-0014 ◽

2017 ◽

Vol 24 (4) ◽

Author(s):

Elke Wolf

Keyword(s):

Unit Disk ◽

Composition Operators ◽

Bergman Spaces ◽

Weighted Bergman Spaces ◽

Open Unit ◽

Weighted Composition Operators ◽

Open Unit Disk ◽

Closed Range ◽

Weighted Composition

AbstractLet ψ be an analytic map and ϕ an analytic self-map of the open unit disk

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Weighted composition operators with closed range

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700039277 ◽

2007 ◽

Vol 75 (3) ◽

pp. 331-354 ◽

Cited By ~ 6

Author(s):

N. Palmberg

Keyword(s):

Infinite Order ◽

Composition Operators ◽

Bergman Spaces ◽

Sufficient Conditions ◽

Weighted Bergman Spaces ◽

Weighted Composition Operators ◽

Closed Range ◽

Type Spaces ◽

Weighted Composition ◽

Necessary And Sufficient

We study the closed range property of weighted composition operators on weighted Bergman spaces of infinite order (including the Hardy space of infinite order). We give some necessary and sufficient conditions and find a complete characterisation for weighted composition operators associated with conformal mappings. We also give the corresponding results for composition operators on the Bloch-type spaces. Therefore, the results obtained in this paper also improve and generalise the results of Ghatage, Yan, Zheng and Zorboska.

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