Riesz operators with finite rank iterates

Laustsen, Niels Jakob and Raubenheimer, Heinrich (2018) Riesz operators with finite rank iterates. Journal of Mathematical Analysis and Applications, 468 (1). pp. 506-512. ISSN 0022-247X

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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.

Item Type:

Journal Article

Journal or Publication Title:

Journal of Mathematical Analysis and Applications

Additional Information:

This is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, 468, 1, 2018 DOI: 10.1016/j.jmaa.2018.08.032

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? riesz operatorfinite rank operatorstrictly singular operatorfinite ascentfinite descentgeneral mathematicsanalysisapplied mathematicsdiscipline-based research ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

127426

Deposited By:

ep_importer_pure

Deposited On:

12 Sep 2018 07:56

Refereed?:

Yes

Published?:

Published