English

Functions which are almost multipliers of Hilbert function spaces

Functional Analysis 2016-09-06 v1

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.

Keywords

Cite

@article{arxiv.math/9605224,
  title  = {Functions which are almost multipliers of Hilbert function spaces},
  author = {James Agler and Nicholas John Young},
  journal= {arXiv preprint arXiv:math/9605224},
  year   = {2016}
}