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

Julio C. Ramos-Fernández; María A. Rivera-Sarmiento; Margot Salas-Brown

doi:10.1155/2019/5069610

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

Julio C. Ramos-Fernández
, María A. Rivera-Sarmiento
, Margot Salas-Brown

urosario

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

3 Scopus citations

Abstract

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.

Original language	English (US)
Article number	5069610
Journal	Journal of Function Spaces
Volume	2019
DOIs	https://doi.org/10.1155/2019/5069610
State	Published - 2019

All Science Journal Classification (ASJC) codes

Analysis

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title = "On the Essential Norm of Multiplications Operators Acting on Ces{\`a}ro Sequence Spaces",

abstract = "In this article, we establish an important property about the growth of sequences in the dual space of Ces{\`a}ro 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 Ces{\`a}ro sequence spaces cesp.",

author = "Ramos-Fern{\'a}ndez, \{Julio C.\} and Rivera-Sarmiento, \{Mar{\'i}a A.\} and Margot Salas-Brown",

note = "Publisher Copyright: {\textcopyright} 2019 Julio C. Ramos-Fern{\'a}ndez et al.",

year = "2019",

doi = "10.1155/2019/5069610",

language = "English (US)",

volume = "2019",

journal = "Journal of Function Spaces",

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T1 - On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces

AU - Ramos-Fernández, Julio C.

AU - Rivera-Sarmiento, María A.

AU - Salas-Brown, Margot

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85063268581

UR - https://www.scopus.com/pages/publications/85063268581#tab=citedBy

U2 - 10.1155/2019/5069610

DO - 10.1155/2019/5069610

M3 - Research Article

AN - SCOPUS:85063268581

SN - 2314-8896

VL - 2019

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 5069610

ER -

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

Abstract

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