Topological Properties of the Complex Vector Lattice of Bounded Measurable Functions
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let Σ be a σ-algebra of subsets of a nonempty set Ω.
Let BΣ be the complex vector lattice of bounded Σ-measurable complex-valued functions on Ω and let caΣ be the Banach space of all bounded countably additive complex-valued measures on Ω.
We study locally solid topologies on BΣ.
In particular, it is shown that the Mackey topology τBΣ,caΣ is the finest locally convex-solid σ-Lebesgue topology on BΣ.
American Psychological Association (APA)
Nowak, Marian. 2013. Topological Properties of the Complex Vector Lattice of Bounded Measurable Functions. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1006064
Modern Language Association (MLA)
Nowak, Marian. Topological Properties of the Complex Vector Lattice of Bounded Measurable Functions. Journal of Function Spaces No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1006064
American Medical Association (AMA)
Nowak, Marian. Topological Properties of the Complex Vector Lattice of Bounded Measurable Functions. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1006064
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006064