The Closed Graph Theorem and the Space of Henstock-Kurzweil Integrable Functions with the Alexiewicz Norm
Joint Authors
Escamilla Reyna, Juan Alberto
Raggi Cárdenas, Maria Guadalupe
Gutiérrez Méndez, Luis Ángel
Estrada García, Juan Francisco
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-21
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We prove that the cardinality of the space ℋ?([a,b]) is equal to the cardinality of real numbers.
Based on this fact we show that there exists a norm on ℋ?([a,b]) under which it is a Banach space.
Therefore if we equip ℋ?([a,b]) with the Alexiewicz topology then ℋ?([a,b]) is not K-Suslin, neither infra-(u) nor a webbed space.
American Psychological Association (APA)
Gutiérrez Méndez, Luis Ángel& Escamilla Reyna, Juan Alberto& Raggi Cárdenas, Maria Guadalupe& Estrada García, Juan Francisco. 2013. The Closed Graph Theorem and the Space of Henstock-Kurzweil Integrable Functions with the Alexiewicz Norm. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-474609
Modern Language Association (MLA)
Gutiérrez Méndez, Luis Ángel…[et al.]. The Closed Graph Theorem and the Space of Henstock-Kurzweil Integrable Functions with the Alexiewicz Norm. Abstract and Applied Analysis No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-474609
American Medical Association (AMA)
Gutiérrez Méndez, Luis Ángel& Escamilla Reyna, Juan Alberto& Raggi Cárdenas, Maria Guadalupe& Estrada García, Juan Francisco. The Closed Graph Theorem and the Space of Henstock-Kurzweil Integrable Functions with the Alexiewicz Norm. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-474609
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474609
