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November 2018 Nuclearity and trace formulas of integral operators
José Claudinei Ferreira, Suélen Almeida Carvalho
Ann. Funct. Anal. 9(4): 500-513 (November 2018). DOI: 10.1215/20088752-2017-0064

Abstract

We present some results on the nuclearity (or trace class) of integral operators acting on L2(X,ν) under specific conditions. These results improve and adapt a number of methods found in references on this subject. Our discussions take place within the context of special subsets (and manifolds) of the Euclidean space (endowed with weighted Lebesgue measure), second-countable spaces, and Lusin and Souslin spaces (endowed with σ-finite Borel measure).

Citation

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José Claudinei Ferreira. Suélen Almeida Carvalho. "Nuclearity and trace formulas of integral operators." Ann. Funct. Anal. 9 (4) 500 - 513, November 2018. https://doi.org/10.1215/20088752-2017-0064

Information

Received: 13 June 2017; Accepted: 16 November 2017; Published: November 2018
First available in Project Euclid: 4 May 2018

zbMATH: 07002087
MathSciNet: MR3871910
Digital Object Identifier: 10.1215/20088752-2017-0064

Subjects:
Primary: 42B25
Secondary: 45H05, 47B10, 47B34

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.9 • No. 4 • November 2018
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