matrix operators
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2021 ◽  
Vol 24 (2) ◽  
pp. 37-45
Author(s):  
A. A. Kalybay
Keyword(s):  


Author(s):  
Fadime Gökçe

The aim of this paper is to introduce the absolute series space $\left\vert \mathcal{L}^{\phi }(r,s)\right\vert (\mu )$ as the the set of all series summable by the absolute Lucas method, and to give its topological and algebraic structure such as $FK-$space, duals and Schauder basis. Also,  certain matrix operators on this space are characterized.



2021 ◽  
Vol 27 (3) ◽  
Author(s):  
Swati Jasrotia ◽  
Uday Partap Singh ◽  
Kuldip Raj




2021 ◽  
Vol 109 (123) ◽  
pp. 109-123
Author(s):  
Włodzimierz Łenski ◽  
Bogdan Szal

We extend the results of the authors from [Abstract and Applied Analysis, Volume 2016, Article ID 9712878] to the case conjugate Fourier series.



Filomat ◽  
2021 ◽  
Vol 35 (7) ◽  
pp. 2141-2149
Author(s):  
Boulbeba Abdelmoumen ◽  
Sadok Chakroun ◽  
Mnif Maher

In this paper, we will use some new properties of non-compactness measure, in order to establish a description of the M-essential spectrum for some matrix operators on Banach spaces.



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