Title

Frames Associated With Measurable Spaces

Keywords

Analysis operator; Dilation and perturbation; Frame; Hilbert space; Measure space; Representing measure

Abstract

We present two results dealing with dilation and perturbation properties of general frames, which generalize the works of several authors in the theory of discrete frames. We also study the representing measures associated with frames. In particular, we give a necessary and sufficient condition for a representing measure to be an extreme point of the set of representing measures and show how it can be used in some concrete examples.

Publication Date

2-1-2003

Publication Title

Advances in Computational Mathematics

Volume

18

Issue

2-4

Number of Pages

127-147

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1023/A:1021312429186

Socpus ID

0037212177 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0037212177

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