Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Localizable operators and the construction of localized frames

Author: Fumiko Futamura
Journal: Proc. Amer. Math. Soc. 137 (2009), 4187-4197
MSC (2000): Primary 42C15, 46B15, 47B37, 47L80
Published electronically: July 14, 2009
MathSciNet review: 2538579
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We introduce the notion of localizable operators with respect to frames and prove the boundedness of such operators on families of Banach spaces. This generalizes previous results for specific operators, such as pseudodifferential operators on modulation spaces. We also use this notion to provide sufficient conditions for the construction of frames which have the localization property.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 42C15, 46B15, 47B37, 47L80

Retrieve articles in all journals with MSC (2000): 42C15, 46B15, 47B37, 47L80

Additional Information

Fumiko Futamura
Affiliation: Department of Mathematics and Computer Science, Southwestern University, Georgetown, Texas 78626

PII: S 0002-9939(09)09995-X
Keywords: Localized frames, localizable operators, Banach frames
Received by editor(s): January 22, 2009
Received by editor(s) in revised form: April 5, 2009
Published electronically: July 14, 2009
Communicated by: Michael T. Lacey
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia