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Riesz operators with finite rank iterates.

Authors :
Laustsen, N.J.
Raubenheimer, H.
Source :
Journal of Mathematical Analysis & Applications. Dec2018, Vol. 468 Issue 1, p506-512. 7p.
Publication Year :
2018

Abstract

Abstract Every infinite dimensional Banach space admits Riesz operators that are not finite rank. In this note we discuss conditions under which a Riesz operator, or some power thereof, is a finite rank operator. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*RIESZ spaces
*OPERATOR theory
*ITERATIVE methods (Mathematics)
*BANACH spaces
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
0022247X
Volume :
468
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
131633485
Full Text :
https://doi.org/10.1016/j.jmaa.2018.08.032
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