Work

Modifying a resolution of the identity by the action of a linear operator

Year: 2025

Type: article

Abstract: The main purpose of this paper is to investigate the behavior of the Hilbert space valued functions [Formula: see text] that are obtained by applying a linear operator [Formula: see text] to a resolution of the identity (i.e. a continuous Parseval frame) [Formula: see text]. After reviewing the case when [Formula: see text] is bounded with bounded inverse, we study, in more detail, generalized Riesz maps, i.e. the image of a [Formula: see text] by an invertible closed linear operator [Formula: see text].

Source: International Journal of Geometric Methods in Modern Physics

DOI: 10.1142/s021988782540047x

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

Institutions: UCLouvain, University of Palermo

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4409489679

FWCI: 3.799

Cites:

Cited by: 2

Related to: 10