An invariant version of the little Grothendieck theorem for Sobolev spaces

Krystian Kazaniecki; Piotr Pakosz; Michal Wojciechowski

doi:10.1007/s11856-021-2166-5

An invariant version of the little Grothendieck theorem for Sobolev spaces

Krystian Kazaniecki
, Piotr Pakosz
, Michal Wojciechowski

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

Abstract

We prove that every Hilbert space operator which factorizes invariantly through Sobolev space W^1_1(T^d) belongs to some non-trivial Schatten class.

Originalsprache	Englisch
Seiten (von - bis)	33-47
Seitenumfang	15
Fachzeitschrift	Israel Journal of Mathematics
Volume	244
Ausgabenummer	1
DOIs	https://doi.org/10.1007/s11856-021-2166-5
Publikationsstatus	Veröffentlicht - Sep. 2021

Wissenschaftszweige

101002 Analysis
101032 Funktionalanalysis

JKU-Schwerpunkte

Digital Transformation

Zugriff auf Dokument

10.1007/s11856-021-2166-5

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Verknüpfung zur Publikation in Scopus

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abstract = "We prove that every Hilbert space operator which factorizes invariantly through Sobolev space W\textasciicircum{}1\_1(T\textasciicircum{}d) belongs to some non-trivial Schatten class.",

author = "Krystian Kazaniecki and Piotr Pakosz and Michal Wojciechowski",

year = "2021",

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