A Note on Isomorphy and Unitary Isomorphy of Hilbert Space Frames

L. Njagi; B. M. Nzimbi; S.K. Moindi

doi:https://doi.org/10.14445/22315373/IJMTT-V65I1P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 1 | Year 2019 | Article Id. IJMTT-V65I1P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I1P505

A Note on Isomorphy and Unitary Isomorphy of Hilbert Space Frames

L. Njagi,B. M. Nzimbi, S.K. Moindi

Citation :

L. Njagi,B. M. Nzimbi, S.K. Moindi, "A Note on Isomorphy and Unitary Isomorphy of Hilbert Space Frames," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 1, pp. 15-30, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I1P505

Abstract

In this paper we explore isomorphy and unitary isomorphy of frames for Hilbert spaces with a view to investigating properties of some frames left invariant under these equivalence relations. We will also define new equivalences of Hilbert space frames.

Keywords

analysis operator, dual frame, frame, frame operator, isomorphy, unitary isomorphy, tight frame

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