On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
نویسندگان
چکیده
Abstract In this article, all sequences u {\boldsymbol{u}} , mathvariant="bold-italic">v {\boldsymbol{v}} and mathvariant="bold-italic">w {\boldsymbol{w}} that define continuous compact tridiagonal operators T u , v w {T}_{u,v,w} acting on the weighted sequence space l β 2 {l}_{\beta }^{2} were characterized. Additionally, essential norm of operator, as an important consequence our results, multiplication operator M {M}_{u} spaces was calculated.
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ژورنال
عنوان ژورنال: Concrete Operators
سال: 2023
ISSN: ['2299-3282']
DOI: https://doi.org/10.1515/conop-2022-0143