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Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces by N.J. Kalton; A.A. Sedaev; F.A. Sukochev is a Mathematics article available to read on EtoBox.

What is Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces about?

As a consequence of the exposition of Dixmier type traces in the book of [2], we were led to ask how general is this class of functionals within the space of all unitarily invariant functionals on the corresponding Marcinkiewicz ideal M ψ . In this paper we prove the surprising result that the set of all Dixmier traces on M ψ coincides with the set of all fully symmetric functionals on this space.

Who reads Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces?

It is typically read by researchers, students, and practitioners in Mathematics.

Author
N.J. Kalton; A.A. Sedaev; F.A. Sukochev
Publisher
Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0001-8708)
Published
2011
Language
EN
Field
Mathematics (Physical Sciences)

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