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The Banach Space B(l2) is Primary

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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The Banach Space B(l2) is Primary. / Blower, G.
In: Bulletin of the London Mathematical Society, Vol. 22, No. 2, 01.03.1990, p. 176-182.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Blower, G 1990, 'The Banach Space B(l2) is Primary', Bulletin of the London Mathematical Society, vol. 22, no. 2, pp. 176-182. https://doi.org/10.1112/blms/22.2.176

APA

Blower, G. (1990). The Banach Space B(l2) is Primary. Bulletin of the London Mathematical Society, 22(2), 176-182. https://doi.org/10.1112/blms/22.2.176

Vancouver

Blower G. The Banach Space B(l2) is Primary. Bulletin of the London Mathematical Society. 1990 Mar 1;22(2):176-182. doi: 10.1112/blms/22.2.176

Author

Blower, G. / The Banach Space B(l2) is Primary. In: Bulletin of the London Mathematical Society. 1990 ; Vol. 22, No. 2. pp. 176-182.

Bibtex

@article{3e5b91e340204d0783d98e0e7d52710a,
title = "The Banach Space B(l2) is Primary",
abstract = "We prove that if A is an injective operator system on l2 and P is a completely bounded projection on A then either PA or (I−P)A is completely boundedly isomorphic to A. We also prove that if B(l2) is linearly homeomorphic to X ⊕ Y then either X or Y is linearly homeomorphic to B(l2).",
author = "G. Blower",
year = "1990",
month = mar,
day = "1",
doi = "10.1112/blms/22.2.176",
language = "English",
volume = "22",
pages = "176--182",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "Oxford University Press",
number = "2",

}

RIS

TY - JOUR

T1 - The Banach Space B(l2) is Primary

AU - Blower, G.

PY - 1990/3/1

Y1 - 1990/3/1

N2 - We prove that if A is an injective operator system on l2 and P is a completely bounded projection on A then either PA or (I−P)A is completely boundedly isomorphic to A. We also prove that if B(l2) is linearly homeomorphic to X ⊕ Y then either X or Y is linearly homeomorphic to B(l2).

AB - We prove that if A is an injective operator system on l2 and P is a completely bounded projection on A then either PA or (I−P)A is completely boundedly isomorphic to A. We also prove that if B(l2) is linearly homeomorphic to X ⊕ Y then either X or Y is linearly homeomorphic to B(l2).

U2 - 10.1112/blms/22.2.176

DO - 10.1112/blms/22.2.176

M3 - Journal article

VL - 22

SP - 176

EP - 182

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 2

ER -