Compact operators in locally K − convex spaces with orthogonal bases

Author

Safi, Ziyad Rizq

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

Mathematics

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