Standard

A Banach Lattice Having the Approximation Property, but not Having the Bounded Approximation Property. / Reinov, O. I.

в: Mathematical Notes, Том 108, № 1-2, 01.07.2020, стр. 243-249.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Reinov, OI 2020, 'A Banach Lattice Having the Approximation Property, but not Having the Bounded Approximation Property', Mathematical Notes, Том. 108, № 1-2, стр. 243-249. https://doi.org/10.1134/S0001434620070251

APA

Reinov, O. I. (2020). A Banach Lattice Having the Approximation Property, but not Having the Bounded Approximation Property. Mathematical Notes, 108(1-2), 243-249. https://doi.org/10.1134/S0001434620070251

Vancouver

Reinov OI. A Banach Lattice Having the Approximation Property, but not Having the Bounded Approximation Property. Mathematical Notes. 2020 Июль 1;108(1-2):243-249. https://doi.org/10.1134/S0001434620070251

Author

Reinov, O. I. / A Banach Lattice Having the Approximation Property, but not Having the Bounded Approximation Property. в: Mathematical Notes. 2020 ; Том 108, № 1-2. стр. 243-249.

BibTeX

@article{16200414a5ef4d829a4562e623e08150,
title = "A Banach Lattice Having the Approximation Property, but not Having the Bounded Approximation Property",
abstract = "Abstract: The first example of a Banach space with the approximation property but without the bounded approximation property was given by Figiel and Johnson in 1973. We give the first example of a Banach lattice with the approximation property but without the bounded approximation property. As a consequence, we prove the existence of an integral operator (in the sense of Grothendieck) on a Banach lattice which is not strictly integral.",
keywords = "approximation property, Banach lattice, basis, bounded approximation property",
author = "Reinov, {O. I.}",
year = "2020",
month = jul,
day = "1",
doi = "10.1134/S0001434620070251",
language = "English",
volume = "108",
pages = "243--249",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "1-2",

}

RIS

TY - JOUR

T1 - A Banach Lattice Having the Approximation Property, but not Having the Bounded Approximation Property

AU - Reinov, O. I.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - Abstract: The first example of a Banach space with the approximation property but without the bounded approximation property was given by Figiel and Johnson in 1973. We give the first example of a Banach lattice with the approximation property but without the bounded approximation property. As a consequence, we prove the existence of an integral operator (in the sense of Grothendieck) on a Banach lattice which is not strictly integral.

AB - Abstract: The first example of a Banach space with the approximation property but without the bounded approximation property was given by Figiel and Johnson in 1973. We give the first example of a Banach lattice with the approximation property but without the bounded approximation property. As a consequence, we prove the existence of an integral operator (in the sense of Grothendieck) on a Banach lattice which is not strictly integral.

KW - approximation property

KW - Banach lattice

KW - basis

KW - bounded approximation property

UR - http://www.scopus.com/inward/record.url?scp=85088953415&partnerID=8YFLogxK

U2 - 10.1134/S0001434620070251

DO - 10.1134/S0001434620070251

M3 - Article

AN - SCOPUS:85088953415

VL - 108

SP - 243

EP - 249

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 1-2

ER -

ID: 61524080