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Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The important point to note is that the non-Newtonian calculus is a self-contained system independent of any other system of calculus.
Therefore the reader may be surprised to learn that there is a uniform relationship between the corresponding operators of this calculus and the classical calculus.
Several basic concepts based on non-Newtonian calculus are presented by Grossman (1983), Grossman and Katz (1978), and Grossman (1979).
Following Grossman and Katz, in the present paper, we introduce the sets of bounded, convergent, null series and p-bounded variation of sequences over the complex field C * and prove that these are complete.
We propose a quite concrete approach based on the notion of Köthe-Toeplitz duals with respect to the non-Newtonian calculus.
Finally, we derive some inclusion relationships between Köthe space and solidness.
American Psychological Association (APA)
Kadak, Uğur. 2014. Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1049646
Modern Language Association (MLA)
Kadak, Uğur. Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1049646
American Medical Association (AMA)
Kadak, Uğur. Determination of the Köthe-Toeplitz Duals over the Non-Newtonian Complex Field. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1049646
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049646