Abstract Theorems on Exchange of Limits and Preservation of (Semi)continuity of Functions and Measures in the Filter Convergence Setting
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We give necessary and sufficient conditions for exchange of limits of double-indexed families, taking values in sets endowed with an abstract structure of convergence, and for preservation of continuity or semicontinuity of the limit family, with respect to filter convergence.
As a consequence, we give some filter limit theorems and some characterization of continuity and semicontinuity of the limit of a pointwise convergent family of set functions.
Furthermore, we pose some open problems.
American Psychological Association (APA)
Boccuto, A.& Dimitriou, Xenofon. 2016. Abstract Theorems on Exchange of Limits and Preservation of (Semi)continuity of Functions and Measures in the Filter Convergence Setting. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1108607
Modern Language Association (MLA)
Boccuto, A.& Dimitriou, Xenofon. Abstract Theorems on Exchange of Limits and Preservation of (Semi)continuity of Functions and Measures in the Filter Convergence Setting. Journal of Function Spaces No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1108607
American Medical Association (AMA)
Boccuto, A.& Dimitriou, Xenofon. Abstract Theorems on Exchange of Limits and Preservation of (Semi)continuity of Functions and Measures in the Filter Convergence Setting. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1108607
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108607