On the Taylor sequence spaces and upper boundedness of Hausdorff matrices and Nörlund matrices
| Autor: | Gholamreza Talebi |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Sequence
General Mathematics 010102 general mathematics Hausdorff space 010103 numerical & computational mathematics Space (mathematics) 01 natural sciences Continuous functions on a compact Hausdorff space Sequence space law.invention Combinatorics Matrix (mathematics) Invertible matrix law 0101 mathematics Normed vector space Mathematics |
| Zdroj: | Indagationes Mathematicae. 28:629-636 |
| ISSN: | 0019-3577 |
| Popis: | In this paper, the Taylor sequence space t p θ of non-absolute type is introduced which consists of all sequences whose Taylor transforms of order θ , ( 0 θ 1 ) , are in the space l p . It is shown that the space t p θ is a normed space which includes the space l p where 1 ≤ p ≤ ∞ . Moreover, in this paper a general upper estimate is obtained for the norm of Hausdorff matrices and Norlund matrices as operators from l p into the Taylor sequence space t p θ . Finally, the results are extended to the matrix domain of an arbitrary invertible matrix E in the sequence space l p . |
| Databáze: | OpenAIRE |
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