The spectra of the generalized difference operators on the spaces of convergent series

An investigation is made on the spectrum and fine spectrum of the generalized difference operator ∆ab on the space cs of convergent series. Some related results, concerning the spectrum of the adjoint operator (∆ab)*=∆ab on the space bv of bounded variation sequences, are also derived. Further, some special cases of the main results are investigated deeper. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Sawano Y. 1, 2 , El-Shabrawy S.R.3, 4
Journal
Linear and Multilinear Algebra
Publisher
Taylor and Francis Ltd.
Language
English
Status
Published
Link
External link
DOI
10.1080/03081087.2019.1617231
Year
2019
Organizations
  • 1 Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Hachioji, Japan
  • 2 Department of Mathematics Analysis and the Theory of functions, Peoples' Friendship University of Russia, Moscow, Russian Federation
  • 3 Faculty of Science, Department of Mathematics, Damietta University, Damietta, Egypt
  • 4 College of Science and Arts, Department of Mathematics, Jouf University, Gurayyat, Al-Jouf, Saudi Arabia
Keywords
Difference operators; infinite matrices; sequence spaces; spectrum
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38904/
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