Standard

On tensor products of nuclear operators in Banach spaces. / Reinov, Oleg .

In: Proceedings of the International Geometry Center, Vol. 14, No. 3, 22.12.2021, p. 187-205.

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

Harvard

Reinov, O 2021, 'On tensor products of nuclear operators in Banach spaces', Proceedings of the International Geometry Center, vol. 14, no. 3, pp. 187-205. https://doi.org/10.15673/tmgc.v14i3.2083

APA

Reinov, O. (2021). On tensor products of nuclear operators in Banach spaces. Proceedings of the International Geometry Center, 14(3), 187-205. https://doi.org/10.15673/tmgc.v14i3.2083

Vancouver

Reinov O. On tensor products of nuclear operators in Banach spaces. Proceedings of the International Geometry Center. 2021 Dec 22;14(3):187-205. https://doi.org/10.15673/tmgc.v14i3.2083

Author

Reinov, Oleg . / On tensor products of nuclear operators in Banach spaces. In: Proceedings of the International Geometry Center. 2021 ; Vol. 14, No. 3. pp. 187-205.

BibTeX

@article{e355c8532039445bbf8e756728d8f33c,
title = "On tensor products of nuclear operators in Banach spaces",
abstract = "The following result of G. Pisier contributed to the appearance of this paper: If a convolution operator ⋆f : M(G) → C(G), where G is a compact Abelian group, can be factored through a Hilbert space, then f has the absolutely summable set of Fourier coefficients. We give some generalizations of the Pisier{\textquoteright}s result to the cases of factorizations of operators through the operators from the Lorentz-Schatten classes Sp,q in Hilbert spaces both in scalar and in vector-valued cases. Some applications are given.",
author = "Oleg Reinov",
year = "2021",
month = dec,
day = "22",
doi = "10.15673/tmgc.v14i3.2083",
language = "English",
volume = "14",
pages = "187--205",
journal = "Proceedings of the International Geometry Center",
issn = "2072-9812",
publisher = "Odessa National Academy of Food Technologie",
number = "3",

}

RIS

TY - JOUR

T1 - On tensor products of nuclear operators in Banach spaces

AU - Reinov, Oleg

PY - 2021/12/22

Y1 - 2021/12/22

N2 - The following result of G. Pisier contributed to the appearance of this paper: If a convolution operator ⋆f : M(G) → C(G), where G is a compact Abelian group, can be factored through a Hilbert space, then f has the absolutely summable set of Fourier coefficients. We give some generalizations of the Pisier’s result to the cases of factorizations of operators through the operators from the Lorentz-Schatten classes Sp,q in Hilbert spaces both in scalar and in vector-valued cases. Some applications are given.

AB - The following result of G. Pisier contributed to the appearance of this paper: If a convolution operator ⋆f : M(G) → C(G), where G is a compact Abelian group, can be factored through a Hilbert space, then f has the absolutely summable set of Fourier coefficients. We give some generalizations of the Pisier’s result to the cases of factorizations of operators through the operators from the Lorentz-Schatten classes Sp,q in Hilbert spaces both in scalar and in vector-valued cases. Some applications are given.

U2 - 10.15673/tmgc.v14i3.2083

DO - 10.15673/tmgc.v14i3.2083

M3 - Article

VL - 14

SP - 187

EP - 205

JO - Proceedings of the International Geometry Center

JF - Proceedings of the International Geometry Center

SN - 2072-9812

IS - 3

ER -

ID: 85150706