The (D) Property in Banach Spaces
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A Banach space E is said to have (D) property if every bounded linear operator T:F→E* is weakly compact for every Banach space F whose dual does not contain an isomorphic copy of l∞.
Studying this property in connection with other geometric properties, we show that every Banach space whose dual has (V∗) property of Pełczyński (and hence every Banach space with (V) property) has (D) property.
We show that the space L1(v) of real functions, which are integrable with respect to a measure v with values in a Banach space X, has (D) property.
We give some other results concerning Banach spaces with (D) property.
American Psychological Association (APA)
Soybaş, Danyal. 2012. The (D) Property in Banach Spaces. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-496163
Modern Language Association (MLA)
Soybaş, Danyal. The (D) Property in Banach Spaces. Abstract and Applied Analysis No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-496163
American Medical Association (AMA)
Soybaş, Danyal. The (D) Property in Banach Spaces. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-496163
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496163