Invariances of the Operator Properties of Frame Multipliers Under Perturbations of Frames and Symbol. (4th April 2018)

• Record Type: Journal Article
• Authors: Javanshiri, Hossein
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 5(2018)
• Page Start: 571
• Page End: 587
• Publication Date: 2018-04-04
• Subjects: (canonical) dual frame -- frame -- invertibility -- perturbation; Primary: 42C15 -- Secondary: 47A55, 47A58; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1402344
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: Let Φ and Ψ be frames for ℋ and let M m, Φ, Ψ be a frame multiplier with the symbol m . In this paper, we restrict our investigation to show that the operator properties of M m, Φ, Ψ are stable under the perturbations of Φ, Ψ, and m . Also, special attention is devoted to the study of invertible frame multipliers.