On the classical paranormed sequence spaces and related duals over the non-Newtonian complex field
type: Item
instance of: scholarly article
title: On the classical paranormed sequence spaces and related duals over the non-Newtonian complex field
zbMATH Open document ID: 1347.46004
DOI: 10.1155/2015/416906
author: Uğur Kadak
author: A. F. Çakmak
author: Murat Kirişçi
published in: Journal of Function Spaces
publication date: 2015-10-27T00:00:00Z
review text: Summary: The studies on sequence spaces were extended by using the notion of associated multiplier sequences. A multiplier sequence can be used to accelerate the convergence of the sequences in some spaces. In some sense, it can be viewed as a catalyst, which is used to accelerate the process of chemical reaction. Sometimes the associated multiplier sequence delays the rate of convergence of a sequence. In the present paper, the classical paranormed sequence spaces are introduced and it is proved that the spaces are \(\star\)-complete. By using the notion of multiplier sequence, the \(\alpha\)-, \(\beta\)-, and \(\gamma\)-duals of certain paranormed spaces are computed and their bases are constructed.
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 6499104
zbMATH Keywords: multiplier sequences
zbMATH Keywords: paranormed sequence spaces
Wikidata QID: Q59112813
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/416906
OpenAlex ID: W1912108973
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description: scientific article; zbMATH DE number 6499104