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On operators with spectrum in Cantor sets and spectral synthesis.

Authors :
Zarrabi, Mohamed
Source :
Journal of Mathematical Analysis & Applications. Jun2018, Vol. 462 Issue 1, p764-776. 13p.
Publication Year :
2018

Abstract

In this paper we investigate the behavior of powers of operators with spectrum contained in the Cantor sets. As consequence we show that the Cantor sets satisfy spectral synthesis in a large class of weighted Beurling algebras. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0022247X
Volume :
462
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
128395824
Full Text :
https://doi.org/10.1016/j.jmaa.2018.01.079