Work

Weak $A$-frames and weak $A$-semi-frames

Year: 2020

Type: preprint

Abstract: After reviewing the interplay between frames and lower semi-frames, we introduce the notion of lower semi-frame controlled by a densely defined operator $A$ or, for short, a \emph{weak lower $A$-semi-frame} and we study its properties. In particular, we compare it with that of lower atomic systems, introduced in \cite{GB}. We discuss duality properties and we suggest several possible definitions for weak $A$-upper semi-frames. Concrete examples are presented.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2012.09101

Authors: Antoine, Jean-Pierre, Bellomonte, Giorgia, Trapani, Camillo

Institution: UCLouvain

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

OpenAlex ID: W3110924285

Cites: 14

Cited by:

Related to: 5