Frames Associated with Measurable Spaces |
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| Authors: | Gabardo Jean-Pierre Han Deguang |
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| Institution: | (1) Department of Mathematics and Statistics, McMaster University, Hamilton, ON, L8S 4K1, Canada;(2) Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA |
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| 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. |
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| Keywords: | frame measure space Hilbert space analysis operator dilation and perturbation representing measure |
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