The characterization and stability of \(g\)-Riesz frames for super Hilbert space
type: Item
instance of: scholarly article
title: The characterization and stability of \(g\)-Riesz frames for super Hilbert space
zbMATH Open document ID: 1326.42038
DOI: 10.1155/2015/465094
author: Dingli Hua
author: Yongdong Huang
published in: Journal of Function Spaces
publication date: 2015-10-27T00:00:00Z
review text: Summary: \(G\)-frames and \(g\)-Riesz frames as generalized frames in Hilbert spaces have been studied by many authors in recent years. The super Hilbert space has a certain advantage compared with the Hilbert space in the field of studying quantum mechanics. In this paper, for super Hilbert space \(H\oplus K\), the definitions of a \(g\)-Riesz frame and minimal \(g\)-complete are put forward; also a characterization of \(g\)-Riesz frames is obtained. In particular, we generalize them to general super Hilbert space \(L_1\oplus L_2 \oplus \cdots \oplus L_n\). Finally, a conclusion of the stability of a \(g\)-Riesz frame for the super Hilbert space is given.
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 6499107
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/465094
OpenAlex ID: W1906517296
Wikidata QID: Q59112830
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description: scientific article; zbMATH DE number 6499107