Doubly invariant subspaces of the Besicovitch space

Sasane, Amol ORCID: 0000-0001-5566-9877 (2022) Doubly invariant subspaces of the Besicovitch space. Methods of Functional Analysis and Topology,, 28 (2). 150 - 156. ISSN 1029-3531

Text (Sasane_doubly-invariant--published) - Published Version Available under License Creative Commons Attribution Share Alike. Download (430kB)

• Author
• http://mfat.imath.kiev.ua/article/?id=17...

Abstract

A classical result of Norbert Wiener characterises doubly shift-invariant subspaces for square integrable functions on the unit circle with respect to a finite positive Borel measure μ, as being the ranges of the multiplication maps corresponding to the characteristic functions of μ-measurable subsets of the unit circle. An analogue of this result is given for the Besicovitch Hilbert space of `square integrable almost periodic functions'.

Item Type:	Article
Official URL:	http://mfat.imath.kiev.ua/
Additional Information:	© 2022 The Author
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	25 Mar 2022 10:27
Last Modified:	26 Oct 2024 06:30
URI:	http://eprints.lse.ac.uk/id/eprint/114469

Actions (login required)

View Item