scholarly journals The essential norm of multiplication operators acting on Orlicz sequence spaces

2020 ◽  
Vol 39 (6) ◽  
pp. 1407-1414
Author(s):  
Julio C. Ramos-Fernández ◽  
Margot Salas-Brown
Keyword(s):  
Multiplication Operator ◽  
Essential Norm ◽  
Sequence Spaces ◽  
Multiplication Operators ◽  
Orlicz Sequence Spaces

We calculate the measure of non-compactness or the essential norm of the multiplication operator Mu acting on Orlicz sequence spaces lφ. As a consequence of our result, we obtain a known criteria for the compactness of multiplication operator acting on lφ.

scholarly journals Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

2008 ◽  
Vol 2008 ◽  
pp. 1-12 ◽  
Author(s):  
Sei-Ichiro Ueki ◽  
Luo Luo
Keyword(s):  
Unit Ball ◽  
Composition Operator ◽  
Hardy Spaces ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Multiplication Operator ◽  
Essential Norm ◽  
Multiplication Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition

We estimate the essential norm of a compact weighted composition operator acting between different Hardy spaces of the unit ball in . Also we will discuss a compact multiplication operator between Hardy spaces.

The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces

2016 ◽  
Vol 41 (1) ◽  
pp. 245 ◽  
Author(s):  
René E. Castillo ◽  
Julio C. Ramos-Fernández ◽  
Margot Salas-Brown
Keyword(s):  
Essential Norm ◽  
Sequence Spaces ◽  
Multiplication Operators

scholarly journals Multiplication Operators on Cesàro-Orlicz Sequence Spaces

2016 ◽  
Vol 57 (1) ◽  
pp. 137-145 ◽  
Author(s):  
Kuldip Raj ◽  
Charu Sharma ◽  
Suruchi Pandoh
Keyword(s):  
Sequence Spaces ◽  
Multiplication Operators ◽  
Closed Range ◽  
Orlicz Sequence Spaces

AbstractIn this paper, we characterize the compact, invertible, Fredholm and closed range multiplication operators on Cesàro-Orlicz sequence spaces.

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

2019 ◽  
Vol 2019 ◽  
pp. 1-5
Author(s):  
Julio C. Ramos-Fernández ◽  
María A. Rivera-Sarmiento ◽  
Margot Salas-Brown
Keyword(s):  
Dual Space ◽  
Measure Of Noncompactness ◽  
Multiplication Operator ◽  
Essential Norm ◽  
Sequence Spaces

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 noncompactness or the essential norm of the multiplication operator Mu acting on Cesàro sequence spaces cesp.

Weakly compact sets in Orlicz sequence spaces

2021 ◽  
pp. 1-14
Author(s):  
Siyu Shi ◽  
Zhongrui Shi ◽  
Shujun Wu
Keyword(s):  
Sequence Spaces ◽  
Compact Sets ◽  
Weakly Compact ◽  
Orlicz Sequence Spaces ◽  
Weakly Compact Sets

scholarly journals Local rotundity structure of Cesàro–Orlicz sequence spaces

2008 ◽  
Vol 345 (1) ◽  
pp. 410-419 ◽  
Author(s):  
Paweł Foralewski ◽  
Henryk Hudzik ◽  
Alicja Szymaszkiewicz
Keyword(s):  
Sequence Spaces ◽  
Orlicz Sequence Spaces
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