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    Rights statement: 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

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Riesz operators with finite rank iterates

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Riesz operators with finite rank iterates. / Laustsen, Niels Jakob; Raubenheimer, Heinrich.
In: Journal of Mathematical Analysis and Applications, Vol. 468, No. 1, 01.12.2018, p. 506-512.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Laustsen, NJ & Raubenheimer, H 2018, 'Riesz operators with finite rank iterates', Journal of Mathematical Analysis and Applications, vol. 468, no. 1, pp. 506-512. https://doi.org/10.1016/j.jmaa.2018.08.032

APA

Laustsen, N. J., & Raubenheimer, H. (2018). Riesz operators with finite rank iterates. Journal of Mathematical Analysis and Applications, 468(1), 506-512. https://doi.org/10.1016/j.jmaa.2018.08.032

Vancouver

Laustsen NJ, Raubenheimer H. Riesz operators with finite rank iterates. Journal of Mathematical Analysis and Applications. 2018 Dec 1;468(1):506-512. Epub 2018 Aug 23. doi: 10.1016/j.jmaa.2018.08.032

Author

Laustsen, Niels Jakob ; Raubenheimer, Heinrich. / Riesz operators with finite rank iterates. In: Journal of Mathematical Analysis and Applications. 2018 ; Vol. 468, No. 1. pp. 506-512.

Bibtex

@article{3acb480829564018b87db62760f4e657,
title = "Riesz operators with finite rank iterates",
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.",
keywords = "Riesz operator, finite rank operator, strictly singular operator, finite ascent, finite descent",
author = "Laustsen, {Niels Jakob} and Heinrich Raubenheimer",
note = "This is the author{\textquoteright}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",
year = "2018",
month = dec,
day = "1",
doi = "10.1016/j.jmaa.2018.08.032",
language = "English",
volume = "468",
pages = "506--512",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",

}

RIS

TY - JOUR

T1 - Riesz operators with finite rank iterates

AU - Laustsen, Niels Jakob

AU - Raubenheimer, Heinrich

N1 - 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

PY - 2018/12/1

Y1 - 2018/12/1

N2 - 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.

AB - 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.

KW - Riesz operator

KW - finite rank operator

KW - strictly singular operator

KW - finite ascent

KW - finite descent

U2 - 10.1016/j.jmaa.2018.08.032

DO - 10.1016/j.jmaa.2018.08.032

M3 - Journal article

VL - 468

SP - 506

EP - 512

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -