The characterization and stability of \(g\)-Riesz frames for super Hilbert space
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.
scientific article; zbMATH DE number 6499107
scientific article