Generalized Köthe-Toeplitz Duals of Some Vector-Valued Sequence Spaces
Author
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We know from the classical sequence spaces theory that there is a useful relationship between continuous and β-duals of a scalar-valued FK-space E originated by the AK-property.
Our main interest in this work is to expose relationships between the operator space ℒ(E,Y) and Eβ and the generalized β-duals of some X-valued AK-space E where X and Y are Banach spaces and Eβ={(Ak),Ak∈ℒ(X,Y):∑k=1∞Akxk converges in Y,for all x∈E}.
Further, by these results, we obtain the generalized β-duals of some vector-valued Orlicz sequence spaces.
American Psychological Association (APA)
Yılmaz, Yılmaz. 2013. Generalized Köthe-Toeplitz Duals of Some Vector-Valued Sequence Spaces. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-504333
Modern Language Association (MLA)
Yılmaz, Yılmaz. Generalized Köthe-Toeplitz Duals of Some Vector-Valued Sequence Spaces. International Journal of Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-504333
American Medical Association (AMA)
Yılmaz, Yılmaz. Generalized Köthe-Toeplitz Duals of Some Vector-Valued Sequence Spaces. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-504333
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504333