Academic Journal

A Note on the Spectra of Forward Difference Operator on the Sequence Space l1

التفاصيل البيبلوغرافية
العنوان: A Note on the Spectra of Forward Difference Operator on the Sequence Space l1
المؤلفون: Nayak, L., Baliarsingh, P., Dutta, H.
المصدر: Applied Mathematics & Information Sciences
بيانات النشر: Arab Journals Platform
سنة النشر: 2022
مصطلحات موضوعية: Sequence spaces, Forward difference operator, Regular values, Resolvent set, Spectrum and fine spectra of an operator
الوصف: In this work, we compute the fine spectra of the forward difference operator ∆μ+ on l1, where μ = (μk) is a positive real sequence of non-increasing terms satisfying certain conditions. The point spectrum, the residual spectrum, the continuous spectrum, the spectrum and some fine spectra of the operator ∆μ+ on the Banach space l1 are computed which give a natural modifications of the results obtained in [7] and [11]. In this context, some illustrative examples are also provided.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: unknown
Relation: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/17; https://digitalcommons.aaru.edu.jo/cgi/viewcontent.cgi?article=3097&context=amis
الاتاحة: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/17
https://digitalcommons.aaru.edu.jo/cgi/viewcontent.cgi?article=3097&context=amis
رقم الانضمام: edsbas.10944FA5
قاعدة البيانات: BASE