Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules
Publish Year: 1398
Type: Journal paper
Language: English
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Document National Code:
JR_SCMA-15-1_001
Index date: 14 October 2019
Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules abstract
In this paper, we focus on the structured multi-frame vectors in Hilbert $C^*$-modules. More precisely, it will be shown that the set of all complete multi-frame vectors for a unitary system can be parameterized by the set of all surjective operators, in the local commutant. Similar results hold for the set of all complete wandering vectors and complete multi-Riesz vectors, when the surjective operator is replaced by unitary and invertible operators, respectively. Moreover, we show that new multi-frames (resp. multi-Riesz bases) can be obtained as linear combinations of known ones using coefficients which are operators in a certain class.
Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules Keywords:
Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules authors
Mohammad Mahmoudieh
School of Mathematics and computer Science, Damghan University, Damghan, Iran.
Hessam Hosseinnezhad
School of Mathematics and computer Science, Damghan University, Damghan, Iran.
Gholamreza Abbaspour Tabadkan
School of Mathematics and computer Science, Damghan University, Damghan, Iran.
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