Title
Frames associated with measurable spaces
Abbreviated Journal Title
Adv. Comput. Math.
Keywords
frame; measure space; Hilbert space; analysis operator; dilation and; perturbation; representing measure; Mathematics, Applied
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.
Journal Title
Advances in Computational Mathematics
Volume
18
Issue/Number
2-4
Publication Date
1-1-2003
Document Type
Article
Language
English
First Page
127
Last Page
147
WOS Identifier
ISSN
1019-7168
Recommended Citation
"Frames associated with measurable spaces" (2003). Faculty Bibliography 2000s. 3762.
https://stars.library.ucf.edu/facultybib2000/3762