On Matrix Operators On The Series Space |N¯Pθ|K

Abstract

In recent years, the space |N¯pθ|k has been generated from the set of k -absolutely convergent series ℓk as the set of series summable by the absolute weighted method. We investigate some properties of this space, such as β -duality and the relationship with ℓk and then show that each element in the classes (|N¯p||N¯qθ|k) and (|N¯pθ|k|N¯q|) of infinite matrices corresponds to a continuous linear operator and also characterizes these classes. Hence, in a special case, we deduce some well-known results of Sarıgöl, Bosanquet, Orhan, and Sunouchi.

Publication Date

4-1-2018

Publication Title

Ukrainian Mathematical Journal

Volume

69

Issue

11

Number of Pages

1772-1783

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11253-018-1469-0

Socpus ID

85048296033 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85048296033

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