On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping

Joint Authors

Guliyeva, Fatima
Ismailov, Migdad
Nasibov, Yusif

Source

Journal of Function Spaces

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-04-05

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

The concept of b -frame which is a generalization of the frame in Hilbert spaces generated by the bilinear mapping is considered.

b -frame operator is defined; analogues of some well-known results of frame theory are obtained in Hilbert spaces.

Conditions for the existence of b -frame in Hilbert spaces are obtained; the relationship between the definite bounded surjective operator and b -frame is also studied.

The concept of b -orthonormal b -basis is introduced.

American Psychological Association (APA)

Ismailov, Migdad& Guliyeva, Fatima& Nasibov, Yusif. 2016. On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108676

Modern Language Association (MLA)

Ismailov, Migdad…[et al.]. On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping. Journal of Function Spaces No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1108676

American Medical Association (AMA)

Ismailov, Migdad& Guliyeva, Fatima& Nasibov, Yusif. On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108676

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1108676