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Grothendieck Theorem for Some Uniform Algebras and Modules Over Them. / Zlotnikov, I. K.; Kislyakov, S. V.

In: Journal of Mathematical Sciences (United States), Vol. 251, No. 2, 01.11.2020, p. 230-238.

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

Harvard

Zlotnikov, IK & Kislyakov, SV 2020, 'Grothendieck Theorem for Some Uniform Algebras and Modules Over Them', Journal of Mathematical Sciences (United States), vol. 251, no. 2, pp. 230-238. https://doi.org/10.1007/s10958-020-05084-6

APA

Zlotnikov, I. K., & Kislyakov, S. V. (2020). Grothendieck Theorem for Some Uniform Algebras and Modules Over Them. Journal of Mathematical Sciences (United States), 251(2), 230-238. https://doi.org/10.1007/s10958-020-05084-6

Vancouver

Zlotnikov IK, Kislyakov SV. Grothendieck Theorem for Some Uniform Algebras and Modules Over Them. Journal of Mathematical Sciences (United States). 2020 Nov 1;251(2):230-238. https://doi.org/10.1007/s10958-020-05084-6

Author

Zlotnikov, I. K. ; Kislyakov, S. V. / Grothendieck Theorem for Some Uniform Algebras and Modules Over Them. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 251, No. 2. pp. 230-238.

BibTeX

@article{789776a04a9c42f599c069bedbfb4f83,
title = "Grothendieck Theorem for Some Uniform Algebras and Modules Over Them",
abstract = "Under certain additional assumptions, it is proved that a w∗-closed subalgebra X of L∞(μ) (more generally, a w∗-closed module over X) verifies the Grothendieck theorem. The assumptions in question imitate a property of the classical harmonic conjugation operator but are less restrictive than it is usual in similar settings. Specifically, μ may fail to be multiplicative on X, etc.",
author = "Zlotnikov, {I. K.} and Kislyakov, {S. V.}",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = nov,
day = "1",
doi = "10.1007/s10958-020-05084-6",
language = "English",
volume = "251",
pages = "230--238",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Grothendieck Theorem for Some Uniform Algebras and Modules Over Them

AU - Zlotnikov, I. K.

AU - Kislyakov, S. V.

N1 - Publisher Copyright: © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/11/1

Y1 - 2020/11/1

N2 - Under certain additional assumptions, it is proved that a w∗-closed subalgebra X of L∞(μ) (more generally, a w∗-closed module over X) verifies the Grothendieck theorem. The assumptions in question imitate a property of the classical harmonic conjugation operator but are less restrictive than it is usual in similar settings. Specifically, μ may fail to be multiplicative on X, etc.

AB - Under certain additional assumptions, it is proved that a w∗-closed subalgebra X of L∞(μ) (more generally, a w∗-closed module over X) verifies the Grothendieck theorem. The assumptions in question imitate a property of the classical harmonic conjugation operator but are less restrictive than it is usual in similar settings. Specifically, μ may fail to be multiplicative on X, etc.

UR - http://www.scopus.com/inward/record.url?scp=85093846536&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-05084-6

DO - 10.1007/s10958-020-05084-6

M3 - Article

AN - SCOPUS:85093846536

VL - 251

SP - 230

EP - 238

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 75763653