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Compact operators in locally K − convex spaces with orthogonal bases
Author
Source
Journal of al-Aqsa University : Series of Natural Sciences
Issue
Vol. 11, Issue 1 (31 Dec. 2007), pp.46-55, 10 p.
Publisher
al-Aqsa University Deanship of Graduate Studies and Scientific Research
Publication Date
2007-12-31
Country of Publication
Palestine (Gaza Strip)
No. of Pages
10
Main Subjects
Abstract AR
في هذا البحث قدمنا تعريفا مكافئا للمؤثرات الخطية المتصلة و المحكمة باستخدام الأساسات المتعامدة في الفراغات المحلية و المقعرة K-.
و برهنا أنه إذا كان E فراغd1 و F فراغ d2 و شبه منتال فإن كل دالة متصلة تكون محكمة.
Abstract EN
In this paper we give an equivalent definition of continuous and compact linear operators by using orthogonal bases in non-archimedean locally K−convex spaces.
We also show that if E is a 1 d space and F is a semi-Montel 2 d space, then every continuous linear operator T : E →F is Compact.
American Psychological Association (APA)
Safi, Ziyad Rizq. 2007. Compact operators in locally K − convex spaces with orthogonal bases. Journal of al-Aqsa University : Series of Natural Sciences،Vol. 11, no. 1, pp.46-55.
https://search.emarefa.net/detail/BIM-277129
Modern Language Association (MLA)
Safi, Ziyad Rizq. Compact operators in locally K − convex spaces with orthogonal bases. Journal of al-Aqsa University : Series of Natural Sciences Vol. 11, no. 1 (Dec. 2007), pp.46-55.
https://search.emarefa.net/detail/BIM-277129
American Medical Association (AMA)
Safi, Ziyad Rizq. Compact operators in locally K − convex spaces with orthogonal bases. Journal of al-Aqsa University : Series of Natural Sciences. 2007. Vol. 11, no. 1, pp.46-55.
https://search.emarefa.net/detail/BIM-277129
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 55
Record ID
BIM-277129