TY - JOUR
T1 - On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
AU - Caicedo, Alexander
AU - Ramos-Fernández, Julio C
AU - Salas-Brown, Margot
PY - 2023
Y1 - 2023
N2 - In this article, all sequences u, v, and w that define continuous and compact tridiagonal operators Tu,v,w acting on the weighted sequence space l β 2 were characterized. Additionally, the essential norm of this operator, and as an important consequence of our results, the essential norm of multiplication operator Mu acting on l β 2 spaces was calculated. © 2023 the author(s), published by De Gruyter.
AB - In this article, all sequences u, v, and w that define continuous and compact tridiagonal operators Tu,v,w acting on the weighted sequence space l β 2 were characterized. Additionally, the essential norm of this operator, and as an important consequence of our results, the essential norm of multiplication operator Mu acting on l β 2 spaces was calculated. © 2023 the author(s), published by De Gruyter.
M3 - Article
VL - 10
JO - Concrete Operators
JF - Concrete Operators
IS - 1
M1 - 20220143
ER -