Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Class of Banach Spaces
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-20
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We develop the framework of natural spaces to study isomorphic embeddings of Banach spaces.
We then use it to show that a sufficient failure of the generalized continuum hypothesis implies that the universality number of Banach spaces of a given density under a certain kind of positive embedding (very positive embedding) is high.
An example of a very positive embedding is a positive onto embedding between C ( K ) and C L for 0-dimensional K and L such that the following requirement holds for all h ≠ 0 and f ≥ 0 in C ( K ) : if 0 ≤ T h ≤ T f , then there are constants a ≠ 0 and b with 0 ≤ a · h + b ≤ f and a · h + b ≠ 0 .
American Psychological Association (APA)
Džamonja, Mirna. 2014. Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Class of Banach Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013436
Modern Language Association (MLA)
Džamonja, Mirna. Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Class of Banach Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013436
American Medical Association (AMA)
Džamonja, Mirna. Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Class of Banach Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013436
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013436