Q uasi-inner product spaces of quasi-Sobolev spaces and their completeness

Author

al-Dulfi, Jawad Kazim Khalaf

Source

مجلة ابن الهيثم للعلوم الصرفة و التطبيقية

Publisher

University of Baghdad College of Education for Pure Science / Ibn al-Haitham

Publication Date

2017-12-31

Country of Publication

Iraq

No. of Pages

7

Main Subjects

Mathematics

English Abstract

Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad .

K.

Al-Delfi in 2013 [1].

In this paper , we deal with notion of quasi-inner product space by using concept of quasi-normed space which is generalized to normed space and given a relationship between pre-Hilbert space and a quasi-inner product space with important results and examples.

Completeness properties in quasi-inner product space gives us concept of quasi-Hilbert space .

We show that , not all quasi-Sobolev spaces , are quasi-Hilbert spaces.

The best examples which are quasi-Hilbert spaces and Hilbert spaces are , where m .

Finally, propositions, theorems and examples are our own unless otherwise referred.

Data Type

Conference Papers

Record ID

BIM-851610

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