Toric symplectic geometry and full spark frames

Needham, Tom; Shonkwiler, Clayton

doi:10.1016/j.acha.2022.07.004

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2023

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Cited by 3 publications

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“…Operator frames for B(H) is a new notion of frames, which was introduced by Li and Cao [5] and was more generalized by Rossafi in [6]. For more information and properties on frames, see [7,8,9,11,12].…”

Section: Introductionmentioning

confidence: 99%

Operator frame for HomA*(X)

Eljazzar

Rossafi

Paokanta

et al. 2023

Preprint

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The concept of operator frame can be considered as a generalization of frame. Firstly, we introduce the notion of operator frame for the set of all adjointable operators Hom∗A(X ) on a Hilbert pro-C∗ -module X . The analysis operator, the synthesis operator and the frame operator are presented. Secondly, we study the stability of operator frame under small perturbations. We also study the tensor product of operator frame for Hilbert pro-C∗ -modules. Finally, we establish its dual and some properties. AMS Subject Classification: Primary 42C15; 46L05

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