In this paper, we examine the general theory of continuous frame multipliers in Hilbert
space. These operators are a generalization of the widely used notion of (discrete) frame …

Tight frames can be characterized as those frames which possess optimal numerical stability
properties. In this paper, we consider the question of modifying a general frame to generate …

In the present paper the invertibility of multipliers is investigated in detail. Multipliers are
operators created by (frame-like) analysis, multiplication by a fixed symbol, and resynthesis …

In this paper, we introduce controlled frames in Hilbert C∗-modules and we show that they
share many useful properties with their corresponding notions in Hilbert space. Next, we …

Multipliers have been recently introduced by P. Balazs as operators for Bessel sequences
and frames in Hilbert spaces. These are operators that combine (frame-like) analysis, a …

Multipliers are operators that combine (frame-like) analysis, a multiplication with a fixed
sequence, called the symbol, and synthesis. They are very interesting mathematical objects …

In this paper, we introduce the concept of G-BESSEL multipliers which generalizes Bessel
multipliers for G-BESSEL sequences and we study the properties of G-BESSEL multipliers …

In this paper, we present fusion frame multipliers and study their properties. In fact, by an
efficient approach to dual fusion frames, we introduce the fusion frame multipliers as a …

In this paper we investigate the unconditional convergence and invertibility of multipliers M
m, Φ, Ψ depending on the properties of the sequences Ψ, Φ and m. We determine if …

The paper presents a survey over frame multipliers and related concepts. In particular, it
includes a short motivation of why multipliers are of interest to consider, a review as well as …