On a Characterization of Frames for Operators in Quaternionic Hilbert Spaces

DOI10.15407/mag18.02.194OpenAlexW4293199470MaRDI QIDQ6142005

Salma Charfi, Hanen Ellouz

Publication date: 23 January 2024

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag18.02.194

zbMATH Keywords

frames\(K\)-framesatomic systemsquaternionic Hilbert spaces

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• Unnamed Item
• Unnamed Item
• Frames for operators
• Frames and the projection method
• Riesz basis of eigenvectors for analytic families of operators and application to a non-symmetrical Gribov operator
• Frames containing a Riesz basis and approximation of the frame coefficients using finite-dimensional methods
• On a Riesz basis of exponentials related to a family of analytic operators and application
• Frame of exponentials related to analytic families operators and application to a non-self adjoint problem of radiation of a vibrating structure in a light fluid
• Frames, Riesz bases, and discrete Gabor/wavelet expansions
• CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
• On a Riesz basis of finite-dimensional invariant subspaces and application to Gribov operator in Bargmann space
• Riesz Basis Property of Families of Nonharmonic Exponentials and Application to a Problem of a Radiation of a Vibrating Structure in a Light Fluid
• Painless nonorthogonal expansions
• Denseness, Bases and Frames in Banach Spaces and Applications
• Frame Perturbations
• Frames in Quaternionic Hilbert Spaces
• On a Riesz basis of exponentials related to the eigenvalues of an analytic operator and application to a non-selfadjoint problem deduced from a perturbation method for sound radiation
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• A Class of Nonharmonic Fourier Series

This page was built for publication: On a Characterization of Frames for Operators in Quaternionic Hilbert Spaces