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Norm Retrieval by Projections on Infinite-Dimensional Hilbert Spaces

Norm Retrieval by Projections on Infinite-Dimensional Hilbert Spaces

Year:    2017

Author:    Yan Zhou

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 324–330

Abstract

We study the norm retrieval by projections on an infinite-dimensional Hilbert space H. Let {ei}iI be an orthonormal basis in H and Wi={ei} for all iI. We show that {Wi}iI does norm retrieval if and only if I is an infinite subset of N. We also give some properties of norm retrieval by projections.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2017-AAM-20613

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 324–330

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    norm retrieval phase retrieval frames Hilbert spaces.

Author Details

Yan Zhou Email