The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-28
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper deals with fuzzy normed spaces in the sense of Cheng and Mordeson.
We characterize fuzzy norms in terms of ascending and separating families of seminorms and prove an extension theorem for continuous linear functionals on a fuzzy normed space.
Our result generalizes the classical Hahn-Banach extension theorem for normed spaces.
American Psychological Association (APA)
Alegre, C.& Romaguera, Salvador. 2014. The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013358
Modern Language Association (MLA)
Alegre, C.& Romaguera, Salvador. The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1013358
American Medical Association (AMA)
Alegre, C.& Romaguera, Salvador. The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013358
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013358
