# Multiplication operators in variable Lebesgue spaces

@inproceedings{Castillo2016MultiplicationOI, title={Multiplication operators in variable Lebesgue spaces}, author={Ren{\'e} Erl{\'i}n Castillo and Julio C{\'e}sar Ramos Fern{\'a}ndez and Humberto Rafeiro}, year={2016} }

In this note we will characterize the boundedness, invertibility, compactness and closedness of the range of multiplication operators on variable Lebesgue spaces.

## 9 Citations

### Multiplication operators between mixed norm Lebesgue spaces

- Mathematics
- 2018

The boundedness, compactness and closed range of the multiplication operator defined on mixed norm Lebesgue spaces are characterized in this paper.

### Multiplication operators between different Wiener-type variation spaces

- Mathematics
- 2020

In this article, we characterize all of the multipliers u which define continuous, invertible, finite and closed range, compact, and Fredholm multiplication operators
$$M_{u}$$
acting on two…

### Multiplication operators on the space of functions of bounded variation

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- 2017

Abstract In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication…

### On multiplication operators acting on Köthe sequence spaces

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- 2017

We present some characterizations for the multiplication operators $$M_u$$Mu with finite range when acts on any Köthe sequence spaces. we also characterize its compactness and Fredholmness. Our…

### Some properties of Multiplication Operators acting on Banach spaces of measurable functions

- Mathematics
- 2016

The purpose of this article is to survey the recent results about the properties of multiplication operators acting on Banach spaces of measurable functions. Most of them was presented by the author…

### On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces

- MathematicsJournal of Function Spaces
- 2019

In this article, we establish an important property about the growth of sequences in the dual space of Cesàro sequence spaces. As a consequence of this fact, we calculate the measure of…

### Multiplication Operator on Köthe Spaces: Measure of Non-compactness and Closed Range

- Mathematics
- 2019

We calculate the measure of non-compactness of the multiplication operator $$M_u$$Mu acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces…

### Properties of multiplication operators on the space of functions of bounded φ-variation

- Mathematics
- 2021

Abstract In this paper, the functions u ∈ B V φ [ 0 , 1 ] u\in B{V}_{\varphi }\left[0,1] which define compact and Fredholm multiplication operators M u {M}_{u} acting on the space of functions of…

### Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces

- MathematicsMathematical Sciences and Applications E-Notes
- 2021

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