Functions which are almost multipliers of Hilbert function spaces
Abstract
We introduce a natural class of functions, the {\em pseudomultipliers}, associated with a general Hilbert function space, prove an extension theorem which justifies the definition, give numerous examples and establish the nature of the 1-pseudomultipliers of Hilbert spaces of analytic functions under mild hypotheses.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- May 1996
- DOI:
- 10.48550/arXiv.math/9605224
- arXiv:
- arXiv:math/9605224
- Bibcode:
- 1996math......5224A
- Keywords:
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- Mathematics - Functional Analysis