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

Department of Functional Analysis

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	33-47
Number of pages	15
Journal	Israel Journal of Mathematics
Volume	244
Issue number	1
DOIs	https://doi.org/10.1007/s11856-021-2166-5
Publication status	Published - 2021

Fields of science

101002 Analysis
101032 Functional analysis

JKU Focus areas

Digital Transformation

Access to Document

10.1007/s11856-021-2166-5

Cite this

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title = "An invariant version of the little Grothendieck theorem for Sobolev spaces",

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.",

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

year = "2021",

doi = "10.1007/s11856-021-2166-5",

language = "English",

volume = "244",

pages = "33--47",

journal = "Israel Journal of Mathematics",

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AU - Kazaniecki, Krystian

AU - Pakosz, Piotr

AU - Wojciechowski, Michal

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

U2 - 10.1007/s11856-021-2166-5

DO - 10.1007/s11856-021-2166-5

M3 - Article

SN - 0021-2172

VL - 244

SP - 33

EP - 47

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -