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Functions Which are Almost Multipliers of Hilbert Function Spaces
Author(s) -
Agler J,
Young NJ
Publication year - 1998
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s002461159800015x
Subject(s) - newcastle upon tyne , mathematics , citation , library science , humanities , media studies , sociology , history , computer science , art history , art
We introduce a natural class of functions, the {\em pseudomultipliers},associated with a general Hilbert function space, prove an extension theoremwhich justifies the definition, give numerous examples and establish thenature of the 1-pseudomultipliers of Hilbert spaces of analytic functionsunder mild hypotheses.