Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Approximation of multipliers


Authors: Garth I. Gaudry and Ian R. Inglis
Journal: Proc. Amer. Math. Soc. 44 (1974), 381-384
MSC: Primary 43A22
MathSciNet review: 0340970
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We note some necessary and sufficient conditions concerning norm approximation of Fourier multipliers, and give an example to show that $ {M_q}(Z)$, the space of Fourier multipliers of type $ (q,q)$, is not norm dense in $ {M_p}(Z)$ when $ 1 \leqq q < p \leqq 2$. An extension of this example to more general groups is indicated.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 43A22

Retrieve articles in all journals with MSC: 43A22


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0340970-8
PII: S 0002-9939(1974)0340970-8
Keywords: Locally compact abelian group, multiplier, approximation
Article copyright: © Copyright 1974 American Mathematical Society